Q: What are the prime factors of the number 143,034,112?

 A: 2, 13, 42979

Why are those the prime factors of the number 143,034,112?

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 143,034,112

143,034,112
Factor Arrows
271,517,056
Factor Arrows
235,758,528
Factor Arrows
217,879,264
Factor Arrows
28,939,632
Factor Arrows
24,469,816
Factor Arrows
22,234,908
Factor Arrows
21,117,454
Factor Arrows
2558,727
Factor Arrows
1342,979

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, 13, 42979

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 42,979 = 143,034,112

This can also be written as 28 x 131 x 42,9791 = 143,034,112

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


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