Q: What are the prime factors of the number 134,536,336?

 A: 2, 11, 29, 43, 613

Why are those the prime factors of the number 134,536,336?

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 134,536,336

134,536,336
Factor Arrows
267,268,168
Factor Arrows
233,634,084
Factor Arrows
216,817,042
Factor Arrows
28,408,521
Factor Arrows
11764,411
Factor Arrows
2926,359
Factor Arrows
43613

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, 11, 29, 43, 613

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 29 x 43 x 613 = 134,536,336

This can also be written as 24 x 111 x 291 x 431 x 6131 = 134,536,336

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


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