Q: What are the prime factors of the number 143,976?

 A: 2, 3, 7, 857

Why are those the prime factors of the number 143,976?

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 143,976

143,976
Factor Arrows
271,988
Factor Arrows
235,994
Factor Arrows
217,997
Factor Arrows
35,999
Factor Arrows
7857

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, 3, 7, 857

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 857 = 143,976

This can also be written as 23 x 31 x 71 x 8571 = 143,976

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


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