Q: What are the prime factors of the number 220,301,298?

 A: 2, 3, 7, 43, 73, 557

Why are those the prime factors of the number 220,301,298?

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 220,301,298

220,301,298
Factor Arrows
2110,150,649
Factor Arrows
336,716,883
Factor Arrows
312,238,961
Factor Arrows
71,748,423
Factor Arrows
4340,661
Factor Arrows
73557

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, 7, 43, 73, 557

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 43 x 73 x 557 = 220,301,298

This can also be written as 21 x 32 x 71 x 431 x 731 x 5571 = 220,301,298

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


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