Q: What are the prime factors of the number 42,517,626?

 A: 2, 3, 43, 223, 739

Why are those the prime factors of the number 42,517,626?

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 42,517,626

42,517,626
Factor Arrows
221,258,813
Factor Arrows
37,086,271
Factor Arrows
43164,797
Factor Arrows
223739

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, 3, 43, 223, 739

We can check our work by multiplying all of the prime factors together: 2 x 3 x 43 x 223 x 739 = 42,517,626

This can also be written as 21 x 31 x 431 x 2231 x 7391 = 42,517,626

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


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