Q: What are the prime factors of the number 134,108,568?

 A: 2, 3, 11, 56443

Why are those the prime factors of the number 134,108,568?

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 134,108,568

134,108,568
Factor Arrows
267,054,284
Factor Arrows
233,527,142
Factor Arrows
216,763,571
Factor Arrows
35,587,857
Factor Arrows
31,862,619
Factor Arrows
3620,873
Factor Arrows
1156,443

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, 3, 11, 56443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 11 x 56,443 = 134,108,568

This can also be written as 23 x 33 x 111 x 56,4431 = 134,108,568

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


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