Q: What are the prime factors of the number 143,276?

 A: 2, 7, 17, 43

Why are those the prime factors of the number 143,276?

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 143,276

143,276
Factor Arrows
271,638
Factor Arrows
235,819
Factor Arrows
75,117
Factor Arrows
7731
Factor Arrows
1743

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, 7, 17, 43

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 17 x 43 = 143,276

This can also be written as 22 x 72 x 171 x 431 = 143,276

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


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