Q: What are the prime factors of the number 153,367,742?

 A: 2, 11, 633751

Why are those the prime factors of the number 153,367,742?

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 153,367,742

153,367,742
Factor Arrows
276,683,871
Factor Arrows
116,971,261
Factor Arrows
11633,751

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, 11, 633751

We can check our work by multiplying all of the prime factors together: 2 x 11 x 11 x 633,751 = 153,367,742

This can also be written as 21 x 112 x 633,7511 = 153,367,742

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


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