Q: What are the prime factors of the number 220,102,020?

 A: 2, 3, 5, 1222789

Why are those the prime factors of the number 220,102,020?

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 220,102,020

220,102,020
Factor Arrows
2110,051,010
Factor Arrows
255,025,505
Factor Arrows
318,341,835
Factor Arrows
36,113,945
Factor Arrows
51,222,789

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, 1222789

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 1,222,789 = 220,102,020

This can also be written as 22 x 32 x 51 x 1,222,7891 = 220,102,020

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


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