Q: What are the prime factors of the number 615,423,680?

 A: 2, 5, 19, 101221

Why are those the prime factors of the number 615,423,680?

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 615,423,680

615,423,680
Factor Arrows
2307,711,840
Factor Arrows
2153,855,920
Factor Arrows
276,927,960
Factor Arrows
238,463,980
Factor Arrows
219,231,990
Factor Arrows
29,615,995
Factor Arrows
51,923,199
Factor Arrows
19101,221

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, 5, 19, 101221

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19 x 101,221 = 615,423,680

This can also be written as 26 x 51 x 191 x 101,2211 = 615,423,680

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


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