Q: What are the prime factors of the number 154,020,112?

 A: 2, 83, 115979

Why are those the prime factors of the number 154,020,112?

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 154,020,112

154,020,112
Factor Arrows
277,010,056
Factor Arrows
238,505,028
Factor Arrows
219,252,514
Factor Arrows
29,626,257
Factor Arrows
83115,979

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, 83, 115979

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 83 x 115,979 = 154,020,112

This can also be written as 24 x 831 x 115,9791 = 154,020,112

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


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