Q: What are the prime factors of the number 703,668,285?

 A: 3, 5, 15637073

Why are those the prime factors of the number 703,668,285?

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 703,668,285

703,668,285
Factor Arrows
3234,556,095
Factor Arrows
378,185,365
Factor Arrows
515,637,073

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:

3, 5, 15637073

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 15,637,073 = 703,668,285

This can also be written as 32 x 51 x 15,637,0731 = 703,668,285

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


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