Q: What are the prime factors of the number 143,331,344?

 A: 2, 13, 689093

Why are those the prime factors of the number 143,331,344?

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 143,331,344

143,331,344
Factor Arrows
271,665,672
Factor Arrows
235,832,836
Factor Arrows
217,916,418
Factor Arrows
28,958,209
Factor Arrows
13689,093

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, 689093

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 689,093 = 143,331,344

This can also be written as 24 x 131 x 689,0931 = 143,331,344

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


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