Q: What are the prime factors of the number 134,340,736?

 A: 2, 1049537

Why are those the prime factors of the number 134,340,736?

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 134,340,736

134,340,736
Factor Arrows
267,170,368
Factor Arrows
233,585,184
Factor Arrows
216,792,592
Factor Arrows
28,396,296
Factor Arrows
24,198,148
Factor Arrows
22,099,074
Factor Arrows
21,049,537

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, 1049537

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 1,049,537 = 134,340,736

This can also be written as 27 x 1,049,5371 = 134,340,736

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


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