Q: What are the prime factors of the number 8,420,628?

 A: 2, 3, 701719

Why are those the prime factors of the number 8,420,628?

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 8,420,628

8,420,628
Factor Arrows
24,210,314
Factor Arrows
22,105,157
Factor Arrows
3701,719

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, 701719

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 701,719 = 8,420,628

This can also be written as 22 x 31 x 701,7191 = 8,420,628

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


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