Q: What are the prime factors of the number 224,042,550?

 A: 2, 3, 5, 1493617

Why are those the prime factors of the number 224,042,550?

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 224,042,550

224,042,550
Factor Arrows
2112,021,275
Factor Arrows
337,340,425
Factor Arrows
57,468,085
Factor Arrows
51,493,617

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, 5, 1493617

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 1,493,617 = 224,042,550

This can also be written as 21 x 31 x 52 x 1,493,6171 = 224,042,550

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


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