Q: What are the prime factors of the number 220,143,220?

 A: 2, 5, 11, 1000651

Why are those the prime factors of the number 220,143,220?

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 220,143,220

220,143,220
Factor Arrows
2110,071,610
Factor Arrows
255,035,805
Factor Arrows
511,007,161
Factor Arrows
111,000,651

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, 5, 11, 1000651

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 1,000,651 = 220,143,220

This can also be written as 22 x 51 x 111 x 1,000,6511 = 220,143,220

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


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