Q: What are the prime factors of the number 651,375,630?

 A: 2, 3, 5, 179, 40433

Why are those the prime factors of the number 651,375,630?

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 651,375,630

651,375,630
Factor Arrows
2325,687,815
Factor Arrows
3108,562,605
Factor Arrows
336,187,535
Factor Arrows
57,237,507
Factor Arrows
17940,433

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, 5, 179, 40433

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 179 x 40,433 = 651,375,630

This can also be written as 21 x 32 x 51 x 1791 x 40,4331 = 651,375,630

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


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