Q: What are the prime factors of the number 621,555,012?

 A: 2, 3, 13, 442703

Why are those the prime factors of the number 621,555,012?

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 621,555,012

621,555,012
Factor Arrows
2310,777,506
Factor Arrows
2155,388,753
Factor Arrows
351,796,251
Factor Arrows
317,265,417
Factor Arrows
35,755,139
Factor Arrows
13442,703

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, 442703

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 13 x 442,703 = 621,555,012

This can also be written as 22 x 33 x 131 x 442,7031 = 621,555,012

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


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