Q: What are the prime factors of the number 62,024,352?

 A: 2, 3, 13, 3823

Why are those the prime factors of the number 62,024,352?

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 62,024,352

62,024,352
Factor Arrows
231,012,176
Factor Arrows
215,506,088
Factor Arrows
27,753,044
Factor Arrows
23,876,522
Factor Arrows
21,938,261
Factor Arrows
3646,087
Factor Arrows
1349,699
Factor Arrows
133,823

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, 13, 3823

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 13 x 13 x 3,823 = 62,024,352

This can also be written as 25 x 31 x 132 x 3,8231 = 62,024,352

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


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