Q: What are the prime factors of the number 532,666,719?

 A: 3, 13, 1517569

Why are those the prime factors of the number 532,666,719?

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 532,666,719

532,666,719
Factor Arrows
3177,555,573
Factor Arrows
359,185,191
Factor Arrows
319,728,397
Factor Arrows
131,517,569

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:

3, 13, 1517569

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13 x 1,517,569 = 532,666,719

This can also be written as 33 x 131 x 1,517,5691 = 532,666,719

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


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