Q: What are the prime factors of the number 143,417,292?

 A: 2, 3, 643, 18587

Why are those the prime factors of the number 143,417,292?

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 143,417,292

143,417,292
Factor Arrows
271,708,646
Factor Arrows
235,854,323
Factor Arrows
311,951,441
Factor Arrows
64318,587

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, 643, 18587

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 643 x 18,587 = 143,417,292

This can also be written as 22 x 31 x 6431 x 18,5871 = 143,417,292

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


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