Q: What are the prime factors of the number 647,714,168?

 A: 2, 823, 98377

Why are those the prime factors of the number 647,714,168?

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 647,714,168

647,714,168
Factor Arrows
2323,857,084
Factor Arrows
2161,928,542
Factor Arrows
280,964,271
Factor Arrows
82398,377

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, 823, 98377

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 823 x 98,377 = 647,714,168

This can also be written as 23 x 8231 x 98,3771 = 647,714,168

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


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