Q: What are the prime factors of the number 134,880,694?

 A: 2, 13, 23, 47, 4799

Why are those the prime factors of the number 134,880,694?

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 134,880,694

134,880,694
Factor Arrows
267,440,347
Factor Arrows
135,187,719
Factor Arrows
23225,553
Factor Arrows
474,799

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, 13, 23, 47, 4799

We can check our work by multiplying all of the prime factors together: 2 x 13 x 23 x 47 x 4,799 = 134,880,694

This can also be written as 21 x 131 x 231 x 471 x 4,7991 = 134,880,694

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


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