Q: What are the prime factors of the number 65,610,370?

 A: 2, 5, 7, 109, 8599

Why are those the prime factors of the number 65,610,370?

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 65,610,370

65,610,370
Factor Arrows
232,805,185
Factor Arrows
56,561,037
Factor Arrows
7937,291
Factor Arrows
1098,599

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, 5, 7, 109, 8599

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 109 x 8,599 = 65,610,370

This can also be written as 21 x 51 x 71 x 1091 x 8,5991 = 65,610,370

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


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