Q: What are the prime factors of the number 531,773,376?

 A: 2, 3, 263, 10531

Why are those the prime factors of the number 531,773,376?

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 531,773,376

531,773,376
Factor Arrows
2265,886,688
Factor Arrows
2132,943,344
Factor Arrows
266,471,672
Factor Arrows
233,235,836
Factor Arrows
216,617,918
Factor Arrows
28,308,959
Factor Arrows
32,769,653
Factor Arrows
26310,531

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, 263, 10531

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 263 x 10,531 = 531,773,376

This can also be written as 26 x 31 x 2631 x 10,5311 = 531,773,376

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


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