Q: What are the prime factors of the number 224,537,240?

 A: 2, 5, 5613431

Why are those the prime factors of the number 224,537,240?

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 224,537,240

224,537,240
Factor Arrows
2112,268,620
Factor Arrows
256,134,310
Factor Arrows
228,067,155
Factor Arrows
55,613,431

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, 5613431

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5,613,431 = 224,537,240

This can also be written as 23 x 51 x 5,613,4311 = 224,537,240

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


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