Q: What are the prime factors of the number 531,024,012?

 A: 2, 3, 182107

Why are those the prime factors of the number 531,024,012?

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 531,024,012

531,024,012
Factor Arrows
2265,512,006
Factor Arrows
2132,756,003
Factor Arrows
344,252,001
Factor Arrows
314,750,667
Factor Arrows
34,916,889
Factor Arrows
31,638,963
Factor Arrows
3546,321
Factor Arrows
3182,107

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, 182107

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 3 x 3 x 182,107 = 531,024,012

This can also be written as 22 x 36 x 182,1071 = 531,024,012

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


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