Q: What are the prime factors of the number 143,041,332?

 A: 2, 3, 7, 17, 100169

Why are those the prime factors of the number 143,041,332?

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 143,041,332

143,041,332
Factor Arrows
271,520,666
Factor Arrows
235,760,333
Factor Arrows
311,920,111
Factor Arrows
71,702,873
Factor Arrows
17100,169

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, 17, 100169

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 17 x 100,169 = 143,041,332

This can also be written as 22 x 31 x 71 x 171 x 100,1691 = 143,041,332

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


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