Q: What are the prime factors of the number 718,063,150?

 A: 2, 5, 7, 293087

Why are those the prime factors of the number 718,063,150?

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 718,063,150

718,063,150
Factor Arrows
2359,031,575
Factor Arrows
571,806,315
Factor Arrows
514,361,263
Factor Arrows
72,051,609
Factor Arrows
7293,087

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, 5, 7, 293087

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 7 x 293,087 = 718,063,150

This can also be written as 21 x 52 x 72 x 293,0871 = 718,063,150

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


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