Q: What are the prime factors of the number 134,234,221?

 A: 11, 19, 61, 10529

Why are those the prime factors of the number 134,234,221?

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 134,234,221

134,234,221
Factor Arrows
1112,203,111
Factor Arrows
19642,269
Factor Arrows
6110,529

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:

11, 19, 61, 10529

We can check our work by multiplying all of the prime factors together: 11 x 19 x 61 x 10,529 = 134,234,221

This can also be written as 111 x 191 x 611 x 10,5291 = 134,234,221

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


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