Q: What are the prime factors of the number 652,992?

 A: 2, 3, 19, 179

Why are those the prime factors of the number 652,992?

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 652,992

652,992
Factor Arrows
2326,496
Factor Arrows
2163,248
Factor Arrows
281,624
Factor Arrows
240,812
Factor Arrows
220,406
Factor Arrows
210,203
Factor Arrows
33,401
Factor Arrows
19179

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, 19, 179

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 19 x 179 = 652,992

This can also be written as 26 x 31 x 191 x 1791 = 652,992

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


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