Q: What are the prime factors of the number 45,423,620?

 A: 2, 5, 11, 23, 47, 191

Why are those the prime factors of the number 45,423,620?

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 45,423,620

45,423,620
Factor Arrows
222,711,810
Factor Arrows
211,355,905
Factor Arrows
52,271,181
Factor Arrows
11206,471
Factor Arrows
238,977
Factor Arrows
47191

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, 5, 11, 23, 47, 191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 23 x 47 x 191 = 45,423,620

This can also be written as 22 x 51 x 111 x 231 x 471 x 1911 = 45,423,620

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


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