Q: What are the prime factors of the number 651,116,520?

 A: 2, 3, 5, 197, 9181

Why are those the prime factors of the number 651,116,520?

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 651,116,520

651,116,520
Factor Arrows
2325,558,260
Factor Arrows
2162,779,130
Factor Arrows
281,389,565
Factor Arrows
327,129,855
Factor Arrows
39,043,285
Factor Arrows
51,808,657
Factor Arrows
1979,181

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, 197, 9181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 197 x 9,181 = 651,116,520

This can also be written as 23 x 32 x 51 x 1971 x 9,1811 = 651,116,520

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


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