Q: What are the prime factors of the number 62,258,568?

 A: 2, 3, 37, 70111

Why are those the prime factors of the number 62,258,568?

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 62,258,568

62,258,568
Factor Arrows
231,129,284
Factor Arrows
215,564,642
Factor Arrows
27,782,321
Factor Arrows
32,594,107
Factor Arrows
3770,111

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, 37, 70111

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 37 x 70,111 = 62,258,568

This can also be written as 23 x 31 x 371 x 70,1111 = 62,258,568

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


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