Q: What are the prime factors of the number 136,647,408?

 A: 2, 3, 2846821

Why are those the prime factors of the number 136,647,408?

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 136,647,408

136,647,408
Factor Arrows
268,323,704
Factor Arrows
234,161,852
Factor Arrows
217,080,926
Factor Arrows
28,540,463
Factor Arrows
32,846,821

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, 2846821

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 2,846,821 = 136,647,408

This can also be written as 24 x 31 x 2,846,8211 = 136,647,408

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


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