Q: What are the prime factors of the number 531,211,428?

 A: 2, 3, 11, 1341443

Why are those the prime factors of the number 531,211,428?

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 531,211,428

531,211,428
Factor Arrows
2265,605,714
Factor Arrows
2132,802,857
Factor Arrows
344,267,619
Factor Arrows
314,755,873
Factor Arrows
111,341,443

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, 1341443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 1,341,443 = 531,211,428

This can also be written as 22 x 32 x 111 x 1,341,4431 = 531,211,428

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


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