Q: What are the prime factors of the number 134,103,425?

 A: 5, 19, 103, 2741

Why are those the prime factors of the number 134,103,425?

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 134,103,425

134,103,425
Factor Arrows
526,820,685
Factor Arrows
55,364,137
Factor Arrows
19282,323
Factor Arrows
1032,741

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:

5, 19, 103, 2741

We can check our work by multiplying all of the prime factors together: 5 x 5 x 19 x 103 x 2,741 = 134,103,425

This can also be written as 52 x 191 x 1031 x 2,7411 = 134,103,425

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


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