Q: What are the prime factors of the number 134,250,124?

 A: 2, 19, 239, 389

Why are those the prime factors of the number 134,250,124?

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 134,250,124

134,250,124
Factor Arrows
267,125,062
Factor Arrows
233,562,531
Factor Arrows
191,766,449
Factor Arrows
1992,971
Factor Arrows
239389

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, 19, 239, 389

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 19 x 239 x 389 = 134,250,124

This can also be written as 22 x 192 x 2391 x 3891 = 134,250,124

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


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