Q: What are the prime factors of the number 531,315,048?

 A: 2, 3, 11, 89, 22613

Why are those the prime factors of the number 531,315,048?

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 531,315,048

531,315,048
Factor Arrows
2265,657,524
Factor Arrows
2132,828,762
Factor Arrows
266,414,381
Factor Arrows
322,138,127
Factor Arrows
112,012,557
Factor Arrows
8922,613

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, 11, 89, 22613

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 11 x 89 x 22,613 = 531,315,048

This can also be written as 23 x 31 x 111 x 891 x 22,6131 = 531,315,048

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


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