Q: What are the prime factors of the number 141,356,760?

 A: 2, 3, 5, 571, 2063

Why are those the prime factors of the number 141,356,760?

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 141,356,760

141,356,760
Factor Arrows
270,678,380
Factor Arrows
235,339,190
Factor Arrows
217,669,595
Factor Arrows
35,889,865
Factor Arrows
51,177,973
Factor Arrows
5712,063

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, 571, 2063

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 571 x 2,063 = 141,356,760

This can also be written as 23 x 31 x 51 x 5711 x 2,0631 = 141,356,760

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


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