Q: What are the prime factors of the number 134,534,344?

 A: 2, 7, 97, 24767

Why are those the prime factors of the number 134,534,344?

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 134,534,344

134,534,344
Factor Arrows
267,267,172
Factor Arrows
233,633,586
Factor Arrows
216,816,793
Factor Arrows
72,402,399
Factor Arrows
9724,767

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, 7, 97, 24767

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 97 x 24,767 = 134,534,344

This can also be written as 23 x 71 x 971 x 24,7671 = 134,534,344

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


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