Q: What are the prime factors of the number 220,031,232?

 A: 2, 3, 286499

Why are those the prime factors of the number 220,031,232?

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 220,031,232

220,031,232
Factor Arrows
2110,015,616
Factor Arrows
255,007,808
Factor Arrows
227,503,904
Factor Arrows
213,751,952
Factor Arrows
26,875,976
Factor Arrows
23,437,988
Factor Arrows
21,718,994
Factor Arrows
2859,497
Factor Arrows
3286,499

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, 286499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 286,499 = 220,031,232

This can also be written as 28 x 31 x 286,4991 = 220,031,232

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


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