Q: What are the prime factors of the number 154,343,068?

 A: 2, 11, 17, 206341

Why are those the prime factors of the number 154,343,068?

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 154,343,068

154,343,068
Factor Arrows
277,171,534
Factor Arrows
238,585,767
Factor Arrows
113,507,797
Factor Arrows
17206,341

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, 17, 206341

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 17 x 206,341 = 154,343,068

This can also be written as 22 x 111 x 171 x 206,3411 = 154,343,068

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


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