Q: What are the prime factors of the number 531,230,022?

 A: 2, 3, 733, 13421

Why are those the prime factors of the number 531,230,022?

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 531,230,022

531,230,022
Factor Arrows
2265,615,011
Factor Arrows
388,538,337
Factor Arrows
329,512,779
Factor Arrows
39,837,593
Factor Arrows
73313,421

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, 733, 13421

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 733 x 13,421 = 531,230,022

This can also be written as 21 x 33 x 7331 x 13,4211 = 531,230,022

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


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