Q: What are the prime factors of the number 757,008?

 A: 2, 3, 7, 751

Why are those the prime factors of the number 757,008?

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 757,008

757,008
Factor Arrows
2378,504
Factor Arrows
2189,252
Factor Arrows
294,626
Factor Arrows
247,313
Factor Arrows
315,771
Factor Arrows
35,257
Factor Arrows
7751

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, 7, 751

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 7 x 751 = 757,008

This can also be written as 24 x 32 x 71 x 7511 = 757,008

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


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