Q: What are the prime factors of the number 224,550,432?

 A: 2, 3, 883

Why are those the prime factors of the number 224,550,432?

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 224,550,432

224,550,432
Factor Arrows
2112,275,216
Factor Arrows
256,137,608
Factor Arrows
228,068,804
Factor Arrows
214,034,402
Factor Arrows
27,017,201
Factor Arrows
32,339,067
Factor Arrows
3779,689
Factor Arrows
883883

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, 883

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 883 x 883 = 224,550,432

This can also be written as 25 x 32 x 8832 = 224,550,432

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


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