Q: What are the prime factors of the number 62,113,700?

 A: 2, 5, 11, 56467

Why are those the prime factors of the number 62,113,700?

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 62,113,700

62,113,700
Factor Arrows
231,056,850
Factor Arrows
215,528,425
Factor Arrows
53,105,685
Factor Arrows
5621,137
Factor Arrows
1156,467

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, 11, 56467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 11 x 56,467 = 62,113,700

This can also be written as 22 x 52 x 111 x 56,4671 = 62,113,700

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


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