Q: What are the prime factors of the number 13,235,764?

 A: 2, 23, 47, 3061

Why are those the prime factors of the number 13,235,764?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 13,235,764

13,235,764
Factor Arrows
26,617,882
Factor Arrows
23,308,941
Factor Arrows
23143,867
Factor Arrows
473,061

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 23, 47, 3061

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 47 x 3,061 = 13,235,764

This can also be written as 22 x 231 x 471 x 3,0611 = 13,235,764

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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