Q: What are the prime factors of the number 620,142,663?

 A: 3, 7, 463, 63781

Why are those the prime factors of the number 620,142,663?

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 620,142,663

620,142,663
Factor Arrows
3206,714,221
Factor Arrows
729,530,603
Factor Arrows
46363,781

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:

3, 7, 463, 63781

We can check our work by multiplying all of the prime factors together: 3 x 7 x 463 x 63,781 = 620,142,663

This can also be written as 31 x 71 x 4631 x 63,7811 = 620,142,663

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


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