Q: What are the prime factors of the number 141,577,860?

 A: 2, 3, 5, 241, 9791

Why are those the prime factors of the number 141,577,860?

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 141,577,860

141,577,860
Factor Arrows
270,788,930
Factor Arrows
235,394,465
Factor Arrows
311,798,155
Factor Arrows
52,359,631
Factor Arrows
2419,791

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, 5, 241, 9791

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 241 x 9,791 = 141,577,860

This can also be written as 22 x 31 x 51 x 2411 x 9,7911 = 141,577,860

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


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