What number between 1 and 1000 has the most factors?
Sanika and Amy both said that the number under 1000 with the most factors is 840 (32 factors).
∴176 has greatest number of factors.
Hence, the factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, and 1000. Only whole numbers and integers can be converted to factors.
Examples of composite numbers: 4, 6, 8, 10. Hence the largest 3 digit composite number is 999 which has more than 2 factors. Q.
Composite numbers are those numbers that have more than two factors. In other words, composite numbers have factors other than 1 and itself. For example, the number 6 is a composite number because it has 1, 2, 3, and 6 as its factors.
So there are 5 integers from 1 to 100 that have the most factors. they are 60, 72, 84, 90 & 96.
The numbers under 100 with most factors are 60=22⋅3⋅5, 84=22⋅3⋅7, 96=25⋅3 and 72=23⋅32, which all have 12 factors.
Sanika and Amy both said that the number under 1000 with the most factors is 840 (32 factors).
The factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, and 1000.
The first few prime numbers from 1 to 1000 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, and so on.
Which number has the fewest factors?
The factors of a prime number are only two, 1 and the number itself. We cannot divide prime number by any other number, that can give a whole number. 1 is not a prime number, since it has only one factor. These prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, etc.
0 is the universal dividend because every nonzero integer divides 0. As a consequence: Yes, 0 has an infinite number of factors (divisors). Likewise, 1 is the universal divisor because 1 divides every integer. No other nonnegative integers share these properties.
Such numbers between 1 and 100 are 4,9,25 and 49.
A composite number is a whole number greater than 1 with more than two factors.
A prime number is a whole number greater than 1 with only two factors – itself and 1.
Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11.
The greatest common factor is the largest whole number that is a factor of the two given whole numbers. In other words, it is the largest number that can be divided evenly into the two given numbers.
Because 100 is the smallest, it is the least common multiple. The LCM of 1 and 100 is 100.
Thus, the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, and 100.
Factors of 100 are written as 1, 2, 4, 5, 10, 20, 25, 50, and 100. Factor pairs are the pairs of two numbers that, when multiplied, give the original number. The pair factor of 100 are (1,100), (2,50), (4,25), (5,20), and (10,10).
Does the number 1 have factors?
The number 1 has only one factor which is 1 itself.
In fact, of all the natural numbers with exactly 1000 divisors, 810,810,000 is the smallest. A demonstration by enumeration follows.
How many numbers between 1 and 1000, inclusive have an odd number of factors? Only perfect squares have an odd number of factors. Thus, the perfect squares between 1 and 1000, inclusive, are 1^2, 2^2, ..., 31^2, so there are a total of 31 numbers.
Factors of 1200 are the list of integers that we can split evenly into 1200. There are 30 factors of 1200 of which 1200 itself is the biggest factor and its prime factors are 2, 3, 5 The Prime Factorization of 1200 is 24 × 31 × 52.
Highly composite numbers whose number of divisors is also a highly composite number are for n = 1, 2, 6, 12, 60, 360, 1260, 2520, 5040, 55440, 277200, 720720, 3603600, 61261200, 2205403200, 293318625600, 6746328388800, 195643523275200 (sequence A189394 in the OEIS).
What are the Multiples of 1000? So, the first 10 multiples of 1000 are: 1000, 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000 and 10000.
| file | first prime | last prime |
|---|---|---|
| The first million | 2 | 15,485,863 |
| The second million | 15,485,867 | 32,452,843 |
| The third million | 32,452,867 | 49,979,687 |
| The fourth million | 49,979,693 | 67,867,967 |
The largest known prime number (as of April 2023) is 282,589,933 − 1, a number which has 24,862,048 digits when written in base 10. It was found via a computer volunteered by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS) in 2018.
Therefore the option $A)9973$ is the largest four digit prime number. Note: We can find whether the given number is prime or composite by the trial-and-error methods.
Every number has atleast two factors that is 1 and i t s e l f (other than 1 which has one factor). hence no number is there which has no factors.
Can a number have infinite factors?
No worries!
Zero is not the factor of any number because if we divide a number by zero, the value is not defined.
(iii) 0 has infinite factors. In fact all numbers are factors of zero. (iv) 0 is not factor of any number because division by 0 is meaningless. Every number has a fixed number of factors.
So what is it - odd, even or neither? For mathematicians the answer is easy: zero is an even number.
The number 2 has only two whole number factors, 1 and itself. That's pretty much it after this: The other numbers that are even up from two are all divisible by that number in some way. This is also known as the "oddest prime" because it's the only prime number that's even, so it's also known as the odd one out.
So what about numbers with exactly 4 factors? The first few such numbers are: 6, 8, 10, 14, 15, 21, 22, 26, 27, 33, 34, 35, 38, 39, … and it can be hard to see what is going on because we have two different kinds of number here.
Below 100 there are 10 numbers which satisfy the above condition. 24, 30, 40, 42, 54, 56, 66, 70, 78 and 88 .
Therefore, the number of natural numbers less than 100 which have exactly 3 factors are 4, 9, 25, 49.
perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128.
Hence, a number which has only two factors is called a prime number .
What numbers have only 3 factors?
We know that the numbers between 1 and 100 which have exactly three factors are 4, 9, 25 and 49. Factors of 4 are 1, 2 and 4. Factors of 9 are 1, 3 and 9.
If a number has more than 2 factors then it is called a composite number. For example: 3, 13, 29 are prime numbers and have no other factors except 1 and the number itself whereas 15, 27 are composite numbers because they have additional factors.
The GCF stands for the “greatest common factor”. The GCF is defined as the largest number that is a factor of two or more numbers.
A number which has only two factors is called a Prime number. A number which has more than two factors is called a composite number.
A) 0 cannot be a factor of any number except for 0 because when any number is divided by 0, then the answer is not defined. B) 1 is the factor of every number as one divides every number exactly, without leaving any remainder behind and gives the quotient as the number itself.
Each prime number will have only two factors, i.e. 1 and the number itself, whereas all composite numbers will have more than two factors, that include prime factors also. Examples are: Factors of 2 = 1 and 2. Factors of 10 = 1,2,5 and 10.
The only such number in range is c=210=1024 that has 11 factors: 1,2, 4 ,8,16,32,64,128,256,512,1024.
Step-by-step explanation: 12 = 4x3 hence 12 has six factors, 1, 2, 3, 4, 6 and 12.
False. Just because a number is larger, it does not mean it has more factor pairs.
1 Answer. 138 has the largest number of unique prime factors.
What is the highest number with no factors?
No Natural Numbers have no factors. The minimum is one and there is no maximum. One may posit that 0 has none (even thought it is not a natural number) but it is actually divisible by all numbers as anything can fit evenly 0 times into 0.
A limiting factor refers to any of the factors (variables) in an environment capable of limiting a process, such as the growth, abundance, or distribution of a population of organisms in an ecosystem.
Sanika found the smallest number with exactly 100 factors: Prime factorising 100 gives us 2\times2\times5\times5, now we can assign the smallest prime bases to the largest powers, which will give us 24$\times34\times5\times7 = 45360.
43 is the largest natural number that is not an (original) McNugget number. 43 is the smallest prime number expressible as the sum of 2, 3, 4, or 5 different primes: 43 = 41 + 2. 43 = 11 + 13 + 19.
53 (fifty-three) is the natural number following 52 and preceding 54. It is the 16th prime number.
No, 24 is not a prime number. The number 24 is divisible by 1, 2, 3, 4, 6, 8, 12, 24. For a number to be classified as a prime number, it should have exactly two factors. Since 24 has more than two factors, i.e. 1, 2, 3, 4, 6, 8, 12, 24, it is not a prime number.
1009 is a prime number because it has precisely two factors, 1 and 1009.
Multiples of 13 List. The list of multiples of 13 include: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, 208, 221, 234, 247, 260, 273, 286, 299, 312, 325, 338, 351, 364, 377, 390,… Therefore, as per the definition mentioned above, the multiple of 13 is obtained by multiplying some integer with 13.
So "3" appears 20 times.