Q: What are the prime factors of the number 62,713,560?

 A: 2, 3, 5, 7, 13, 5743

Why are those the prime factors of the number 62,713,560?

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 62,713,560

62,713,560
Factor Arrows
231,356,780
Factor Arrows
215,678,390
Factor Arrows
27,839,195
Factor Arrows
32,613,065
Factor Arrows
5522,613
Factor Arrows
774,659
Factor Arrows
135,743

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, 3, 5, 7, 13, 5743

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 7 x 13 x 5,743 = 62,713,560

This can also be written as 23 x 31 x 51 x 71 x 131 x 5,7431 = 62,713,560

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


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