Q: What are the prime factors of the number 220,355,240?

 A: 2, 5, 7, 786983

Why are those the prime factors of the number 220,355,240?

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 220,355,240

220,355,240
Factor Arrows
2110,177,620
Factor Arrows
255,088,810
Factor Arrows
227,544,405
Factor Arrows
55,508,881
Factor Arrows
7786,983

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, 7, 786983

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 786,983 = 220,355,240

This can also be written as 23 x 51 x 71 x 786,9831 = 220,355,240

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


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