Q: What are the prime factors of the number 651,132?

 A: 2, 3, 6029

Why are those the prime factors of the number 651,132?

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 651,132

651,132
Factor Arrows
2325,566
Factor Arrows
2162,783
Factor Arrows
354,261
Factor Arrows
318,087
Factor Arrows
36,029

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, 6029

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 6,029 = 651,132

This can also be written as 22 x 33 x 6,0291 = 651,132

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


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