Q: What are the prime factors of the number 759,984?

 A: 2, 3, 71, 223

Why are those the prime factors of the number 759,984?

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 759,984

759,984
Factor Arrows
2379,992
Factor Arrows
2189,996
Factor Arrows
294,998
Factor Arrows
247,499
Factor Arrows
315,833
Factor Arrows
71223

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, 71, 223

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 71 x 223 = 759,984

This can also be written as 24 x 31 x 711 x 2231 = 759,984

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


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