Q: What are the prime factors of the number 62,037,600?

 A: 2, 3, 5, 25849

Why are those the prime factors of the number 62,037,600?

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 62,037,600

62,037,600
Factor Arrows
231,018,800
Factor Arrows
215,509,400
Factor Arrows
27,754,700
Factor Arrows
23,877,350
Factor Arrows
21,938,675
Factor Arrows
3646,225
Factor Arrows
5129,245
Factor Arrows
525,849

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, 25849

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 25,849 = 62,037,600

This can also be written as 25 x 31 x 52 x 25,8491 = 62,037,600

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


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