Q: What are the prime factors of the number 703,811,604?

 A: 2, 3, 19, 151, 20443

Why are those the prime factors of the number 703,811,604?

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 703,811,604

703,811,604
Factor Arrows
2351,905,802
Factor Arrows
2175,952,901
Factor Arrows
358,650,967
Factor Arrows
193,086,893
Factor Arrows
15120,443

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, 19, 151, 20443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 19 x 151 x 20,443 = 703,811,604

This can also be written as 22 x 31 x 191 x 1511 x 20,4431 = 703,811,604

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


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