Q: What are the prime factors of the number 206,440,132?

 A: 2, 67, 11497

Why are those the prime factors of the number 206,440,132?

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 206,440,132

206,440,132
Factor Arrows
2103,220,066
Factor Arrows
251,610,033
Factor Arrows
67770,299
Factor Arrows
6711,497

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, 67, 11497

We can check our work by multiplying all of the prime factors together: 2 x 2 x 67 x 67 x 11,497 = 206,440,132

This can also be written as 22 x 672 x 11,4971 = 206,440,132

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


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