Q: What are the prime factors of the number 655,516,530?

 A: 2, 3, 5, 19, 127781

Why are those the prime factors of the number 655,516,530?

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 655,516,530

655,516,530
Factor Arrows
2327,758,265
Factor Arrows
3109,252,755
Factor Arrows
336,417,585
Factor Arrows
312,139,195
Factor Arrows
52,427,839
Factor Arrows
19127,781

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, 19, 127781

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 19 x 127,781 = 655,516,530

This can also be written as 21 x 33 x 51 x 191 x 127,7811 = 655,516,530

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


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