Q: What are the prime factors of the number 133,303,137?

 A: 3, 11, 17, 127, 1871

Why are those the prime factors of the number 133,303,137?

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 133,303,137

133,303,137
Factor Arrows
344,434,379
Factor Arrows
114,039,489
Factor Arrows
17237,617
Factor Arrows
1271,871

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:

3, 11, 17, 127, 1871

We can check our work by multiplying all of the prime factors together: 3 x 11 x 17 x 127 x 1,871 = 133,303,137

This can also be written as 31 x 111 x 171 x 1271 x 1,8711 = 133,303,137

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


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