Q: What are the prime factors of the number 133,311,212?

 A: 2, 17, 157, 12487

Why are those the prime factors of the number 133,311,212?

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 133,311,212

133,311,212
Factor Arrows
266,655,606
Factor Arrows
233,327,803
Factor Arrows
171,960,459
Factor Arrows
15712,487

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, 17, 157, 12487

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 157 x 12,487 = 133,311,212

This can also be written as 22 x 171 x 1571 x 12,4871 = 133,311,212

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


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