Q: What are the prime factors of the number 134,408,880?

 A: 2, 3, 5, 186679

Why are those the prime factors of the number 134,408,880?

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 134,408,880

134,408,880
Factor Arrows
267,204,440
Factor Arrows
233,602,220
Factor Arrows
216,801,110
Factor Arrows
28,400,555
Factor Arrows
32,800,185
Factor Arrows
3933,395
Factor Arrows
5186,679

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, 3, 5, 186679

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 5 x 186,679 = 134,408,880

This can also be written as 24 x 32 x 51 x 186,6791 = 134,408,880

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


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