Q: What are the prime factors of the number 154,544,157?

 A: 3, 19, 317, 2851

Why are those the prime factors of the number 154,544,157?

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 154,544,157

154,544,157
Factor Arrows
351,514,719
Factor Arrows
317,171,573
Factor Arrows
19903,767
Factor Arrows
3172,851

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:

3, 19, 317, 2851

We can check our work by multiplying all of the prime factors together: 3 x 3 x 19 x 317 x 2,851 = 154,544,157

This can also be written as 32 x 191 x 3171 x 2,8511 = 154,544,157

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


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