Q: What are the prime factors of the number 663,611,732?

 A: 2, 7, 23, 41, 613

Why are those the prime factors of the number 663,611,732?

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 663,611,732

663,611,732
Factor Arrows
2331,805,866
Factor Arrows
2165,902,933
Factor Arrows
723,700,419
Factor Arrows
231,030,453
Factor Arrows
4125,133
Factor Arrows
41613

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, 7, 23, 41, 613

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 23 x 41 x 41 x 613 = 663,611,732

This can also be written as 22 x 71 x 231 x 412 x 6131 = 663,611,732

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


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