Q: What are the prime factors of the number 224,220?

 A: 2, 3, 5, 37, 101

Why are those the prime factors of the number 224,220?

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 224,220

224,220
Factor Arrows
2112,110
Factor Arrows
256,055
Factor Arrows
318,685
Factor Arrows
53,737
Factor Arrows
37101

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, 37, 101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 37 x 101 = 224,220

This can also be written as 22 x 31 x 51 x 371 x 1011 = 224,220

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


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