Prime Factorization of 637

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Prime Factors of

What is the Prime Factorization of 637?

Answer: Prime Factors of 637: 7, 7, 13

or

72 × 13

Explanation of number 637 Prime Factorization

Prime Factorization of 637 it is expressing 637 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 637.

Since number 637 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 637, we have to iteratively divide 637 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 637:

The smallest Prime Number which can divide 637 without a remainder is 7. So the first calculation step would look like:

637 ÷ 7 = 91

Now we repeat this action until the result equals 1:

91 ÷ 7 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 637. It is: 7, 7, 13

Or you may also write it in exponential form: 72 × 13

Prime Factor Tree of 637

We may also express the prime factorization of 637 as a Factor Tree:

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About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 637? (The answer is: 7, 7, 13). Pick the number for factorization (e.g. '637'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
6222, 311
6237, 89
62424 × 3 × 13
62554
6262, 313
6273, 11, 19
62822 × 157
62917, 37
6302 × 32 × 5 × 7
631631
63223 × 79
6333, 211
6342, 317
6355, 127
63622 × 3 × 53
63772 × 13
6382, 11, 29
63932 × 71
64027 × 5
641641
6422, 3, 107
643643
64422 × 7 × 23
6453, 5, 43
6462, 17, 19
647647
64823 × 34
64911, 59
6502 × 52 × 13
6513, 7, 31

FAQ

What is the Prime Factorization of 637?

Prime Factors of 637: 7, 7, 13

How many prime factors does 637 have?

Number 637 has 3 Prime Factors

What is the Prime Factorization of 637 in exponential form?

The Prime Factorization of the number 637 in the exponential form is: 72 × 13

See Also