Q: What are the prime factors of the number 134,400,040?

 A: 2, 5, 23, 347, 421

Why are those the prime factors of the number 134,400,040?

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 134,400,040

134,400,040
Factor Arrows
267,200,020
Factor Arrows
233,600,010
Factor Arrows
216,800,005
Factor Arrows
53,360,001
Factor Arrows
23146,087
Factor Arrows
347421

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, 23, 347, 421

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 23 x 347 x 421 = 134,400,040

This can also be written as 23 x 51 x 231 x 3471 x 4211 = 134,400,040

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


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