Q: What are the prime factors of the number 618,736?

 A: 2, 38671

Why are those the prime factors of the number 618,736?

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 618,736

618,736
Factor Arrows
2309,368
Factor Arrows
2154,684
Factor Arrows
277,342
Factor Arrows
238,671

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, 38671

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 38,671 = 618,736

This can also be written as 24 x 38,6711 = 618,736

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


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