Q: What are the prime factors of the number 621,502,308?

 A: 2, 3, 7, 89, 3079

Why are those the prime factors of the number 621,502,308?

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 621,502,308

621,502,308
Factor Arrows
2310,751,154
Factor Arrows
2155,375,577
Factor Arrows
351,791,859
Factor Arrows
317,263,953
Factor Arrows
35,754,651
Factor Arrows
31,918,217
Factor Arrows
7274,031
Factor Arrows
893,079

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, 89, 3079

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 7 x 89 x 3,079 = 621,502,308

This can also be written as 22 x 34 x 71 x 891 x 3,0791 = 621,502,308

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


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