Q: What are the prime factors of the number 761,984?

 A: 2, 5953

Why are those the prime factors of the number 761,984?

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 761,984

761,984
Factor Arrows
2380,992
Factor Arrows
2190,496
Factor Arrows
295,248
Factor Arrows
247,624
Factor Arrows
223,812
Factor Arrows
211,906
Factor Arrows
25,953

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, 5953

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 2 x 5,953 = 761,984

This can also be written as 27 x 5,9531 = 761,984

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


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