Q: What are the prime factors of the number 62,568,828?

 A: 2, 3, 7, 82763

Why are those the prime factors of the number 62,568,828?

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 62,568,828

62,568,828
Factor Arrows
231,284,414
Factor Arrows
215,642,207
Factor Arrows
35,214,069
Factor Arrows
31,738,023
Factor Arrows
3579,341
Factor Arrows
782,763

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, 7, 82763

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 7 x 82,763 = 62,568,828

This can also be written as 22 x 33 x 71 x 82,7631 = 62,568,828

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


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