Q: What are the prime factors of the number 134,136,432?

 A: 2, 3, 310501

Why are those the prime factors of the number 134,136,432?

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 134,136,432

134,136,432
Factor Arrows
267,068,216
Factor Arrows
233,534,108
Factor Arrows
216,767,054
Factor Arrows
28,383,527
Factor Arrows
32,794,509
Factor Arrows
3931,503
Factor Arrows
3310,501

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, 310501

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 3 x 310,501 = 134,136,432

This can also be written as 24 x 33 x 310,5011 = 134,136,432

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


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