Q: What are the prime factors of the number 101,466,360?

 A: 2, 3, 5, 29, 9719

Why are those the prime factors of the number 101,466,360?

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 101,466,360

101,466,360
Factor Arrows
250,733,180
Factor Arrows
225,366,590
Factor Arrows
212,683,295
Factor Arrows
34,227,765
Factor Arrows
31,409,255
Factor Arrows
5281,851
Factor Arrows
299,719

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, 29, 9719

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 29 x 9,719 = 101,466,360

This can also be written as 23 x 32 x 51 x 291 x 9,7191 = 101,466,360

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


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