Q: What are the prime factors of the number 134,431,552?

 A: 2, 2100493

Why are those the prime factors of the number 134,431,552?

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 134,431,552

134,431,552
Factor Arrows
267,215,776
Factor Arrows
233,607,888
Factor Arrows
216,803,944
Factor Arrows
28,401,972
Factor Arrows
24,200,986
Factor Arrows
22,100,493

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, 2100493

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2,100,493 = 134,431,552

This can also be written as 26 x 2,100,4931 = 134,431,552

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


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