Q: What are the prime factors of the number 531,111,402?

 A: 2, 3, 1031, 28619

Why are those the prime factors of the number 531,111,402?

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 531,111,402

531,111,402
Factor Arrows
2265,555,701
Factor Arrows
388,518,567
Factor Arrows
329,506,189
Factor Arrows
1,03128,619

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, 1031, 28619

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 1,031 x 28,619 = 531,111,402

This can also be written as 21 x 32 x 1,0311 x 28,6191 = 531,111,402

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


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