Q: What are the prime factors of the number 141,333,320?

 A: 2, 5, 59, 59887

Why are those the prime factors of the number 141,333,320?

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 141,333,320

141,333,320
Factor Arrows
270,666,660
Factor Arrows
235,333,330
Factor Arrows
217,666,665
Factor Arrows
53,533,333
Factor Arrows
5959,887

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, 5, 59, 59887

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 59 x 59,887 = 141,333,320

This can also be written as 23 x 51 x 591 x 59,8871 = 141,333,320

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


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