Q: What are the prime factors of the number 134,018,364?

 A: 2, 3, 73, 152989

Why are those the prime factors of the number 134,018,364?

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 134,018,364

134,018,364
Factor Arrows
267,009,182
Factor Arrows
233,504,591
Factor Arrows
311,168,197
Factor Arrows
73152,989

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, 73, 152989

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 73 x 152,989 = 134,018,364

This can also be written as 22 x 31 x 731 x 152,9891 = 134,018,364

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


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