Q: What are the prime factors of the number 531,822,870?

 A: 2, 3, 5, 97, 60919

Why are those the prime factors of the number 531,822,870?

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 531,822,870

531,822,870
Factor Arrows
2265,911,435
Factor Arrows
388,637,145
Factor Arrows
329,545,715
Factor Arrows
55,909,143
Factor Arrows
9760,919

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, 5, 97, 60919

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 97 x 60,919 = 531,822,870

This can also be written as 21 x 32 x 51 x 971 x 60,9191 = 531,822,870

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


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