Q: What are the prime factors of the number 141,023,025?

 A: 3, 5, 11, 13, 487

Why are those the prime factors of the number 141,023,025?

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 141,023,025

141,023,025
Factor Arrows
347,007,675
Factor Arrows
315,669,225
Factor Arrows
35,223,075
Factor Arrows
31,741,025
Factor Arrows
5348,205
Factor Arrows
569,641
Factor Arrows
116,331
Factor Arrows
13487

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:

3, 5, 11, 13, 487

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 5 x 11 x 13 x 487 = 141,023,025

This can also be written as 34 x 52 x 111 x 131 x 4871 = 141,023,025

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


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