Q: What are the prime factors of the number 61,937,725?

 A: 5, 1327, 1867

Why are those the prime factors of the number 61,937,725?

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 61,937,725

61,937,725
Factor Arrows
512,387,545
Factor Arrows
52,477,509
Factor Arrows
1,3271,867

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:

5, 1327, 1867

We can check our work by multiplying all of the prime factors together: 5 x 5 x 1,327 x 1,867 = 61,937,725

This can also be written as 52 x 1,3271 x 1,8671 = 61,937,725

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


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