Q: What are the prime factors of the number 134,361,636?

 A: 2, 3, 367, 30509

Why are those the prime factors of the number 134,361,636?

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 134,361,636

134,361,636
Factor Arrows
267,180,818
Factor Arrows
233,590,409
Factor Arrows
311,196,803
Factor Arrows
36730,509

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, 367, 30509

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 367 x 30,509 = 134,361,636

This can also be written as 22 x 31 x 3671 x 30,5091 = 134,361,636

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


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