Q: What are the prime factors of the number 45,423,618?

 A: 2, 3, 31, 103, 2371

Why are those the prime factors of the number 45,423,618?

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 45,423,618

45,423,618
Factor Arrows
222,711,809
Factor Arrows
37,570,603
Factor Arrows
31244,213
Factor Arrows
1032,371

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, 31, 103, 2371

We can check our work by multiplying all of the prime factors together: 2 x 3 x 31 x 103 x 2,371 = 45,423,618

This can also be written as 21 x 31 x 311 x 1031 x 2,3711 = 45,423,618

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


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