Q: What are the prime factors of the number 134,125,040?

 A: 2, 5, 7, 239509

Why are those the prime factors of the number 134,125,040?

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 134,125,040

134,125,040
Factor Arrows
267,062,520
Factor Arrows
233,531,260
Factor Arrows
216,765,630
Factor Arrows
28,382,815
Factor Arrows
51,676,563
Factor Arrows
7239,509

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, 5, 7, 239509

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 7 x 239,509 = 134,125,040

This can also be written as 24 x 51 x 71 x 239,5091 = 134,125,040

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


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