Q: What are the prime factors of the number 532,633,555?

 A: 5, 19, 127, 131, 337

Why are those the prime factors of the number 532,633,555?

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 532,633,555

532,633,555
Factor Arrows
5106,526,711
Factor Arrows
195,606,669
Factor Arrows
12744,147
Factor Arrows
131337

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:

5, 19, 127, 131, 337

We can check our work by multiplying all of the prime factors together: 5 x 19 x 127 x 131 x 337 = 532,633,555

This can also be written as 51 x 191 x 1271 x 1311 x 3371 = 532,633,555

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


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