Q: What are the prime factors of the number 97,061,220?

 A: 2, 3, 5, 179743

Why are those the prime factors of the number 97,061,220?

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 97,061,220

97,061,220
Factor Arrows
248,530,610
Factor Arrows
224,265,305
Factor Arrows
38,088,435
Factor Arrows
32,696,145
Factor Arrows
3898,715
Factor Arrows
5179,743

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, 179743

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 179,743 = 97,061,220

This can also be written as 22 x 33 x 51 x 179,7431 = 97,061,220

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


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