Q: What are the prime factors of the number 220,344,120?

 A: 2, 3, 5, 612067

Why are those the prime factors of the number 220,344,120?

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 220,344,120

220,344,120
Factor Arrows
2110,172,060
Factor Arrows
255,086,030
Factor Arrows
227,543,015
Factor Arrows
39,181,005
Factor Arrows
33,060,335
Factor Arrows
5612,067

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, 612067

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 612,067 = 220,344,120

This can also be written as 23 x 32 x 51 x 612,0671 = 220,344,120

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


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