Q: What are the prime factors of the number 751,664?

 A: 2, 109, 431

Why are those the prime factors of the number 751,664?

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 751,664

751,664
Factor Arrows
2375,832
Factor Arrows
2187,916
Factor Arrows
293,958
Factor Arrows
246,979
Factor Arrows
109431

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, 109, 431

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 109 x 431 = 751,664

This can also be written as 24 x 1091 x 4311 = 751,664

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


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