Q: What are the prime factors of the number 651,051,060?

 A: 2, 3, 5, 11, 67, 14723

Why are those the prime factors of the number 651,051,060?

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 651,051,060

651,051,060
Factor Arrows
2325,525,530
Factor Arrows
2162,762,765
Factor Arrows
354,254,255
Factor Arrows
510,850,851
Factor Arrows
11986,441
Factor Arrows
6714,723

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, 11, 67, 14723

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 11 x 67 x 14,723 = 651,051,060

This can also be written as 22 x 31 x 51 x 111 x 671 x 14,7231 = 651,051,060

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


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