Q: What are the prime factors of the number 133,663,618?

 A: 2, 11, 239, 2311

Why are those the prime factors of the number 133,663,618?

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 133,663,618

133,663,618
Factor Arrows
266,831,809
Factor Arrows
116,075,619
Factor Arrows
11552,329
Factor Arrows
2392,311

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, 11, 239, 2311

We can check our work by multiplying all of the prime factors together: 2 x 11 x 11 x 239 x 2,311 = 133,663,618

This can also be written as 21 x 112 x 2391 x 2,3111 = 133,663,618

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


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