Q: What are the prime factors of the number 45,230,152?

 A: 2, 11, 43, 11953

Why are those the prime factors of the number 45,230,152?

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 45,230,152

45,230,152
Factor Arrows
222,615,076
Factor Arrows
211,307,538
Factor Arrows
25,653,769
Factor Arrows
11513,979
Factor Arrows
4311,953

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, 11, 43, 11953

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 43 x 11,953 = 45,230,152

This can also be written as 23 x 111 x 431 x 11,9531 = 45,230,152

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


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