Q: What are the prime factors of the number 220,551,422?

 A: 2, 7, 13, 31, 97

Why are those the prime factors of the number 220,551,422?

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 220,551,422

220,551,422
Factor Arrows
2110,275,711
Factor Arrows
715,753,673
Factor Arrows
131,211,821
Factor Arrows
1393,217
Factor Arrows
313,007
Factor Arrows
3197

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, 7, 13, 31, 97

We can check our work by multiplying all of the prime factors together: 2 x 7 x 13 x 13 x 31 x 31 x 97 = 220,551,422

This can also be written as 21 x 71 x 132 x 312 x 971 = 220,551,422

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


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