Q: What are the prime factors of the number 220,176,228?

 A: 2, 3, 2713, 6763

Why are those the prime factors of the number 220,176,228?

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 220,176,228

220,176,228
Factor Arrows
2110,088,114
Factor Arrows
255,044,057
Factor Arrows
318,348,019
Factor Arrows
2,7136,763

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, 2713, 6763

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 2,713 x 6,763 = 220,176,228

This can also be written as 22 x 31 x 2,7131 x 6,7631 = 220,176,228

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


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