Q: What are the prime factors of the number 141,301,150?

 A: 2, 5, 37, 76379

Why are those the prime factors of the number 141,301,150?

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 141,301,150

141,301,150
Factor Arrows
270,650,575
Factor Arrows
514,130,115
Factor Arrows
52,826,023
Factor Arrows
3776,379

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, 37, 76379

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 37 x 76,379 = 141,301,150

This can also be written as 21 x 52 x 371 x 76,3791 = 141,301,150

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


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