Q: What are the prime factors of the number 132,211,025?

 A: 5, 19, 43, 6473

Why are those the prime factors of the number 132,211,025?

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 132,211,025

132,211,025
Factor Arrows
526,442,205
Factor Arrows
55,288,441
Factor Arrows
19278,339
Factor Arrows
436,473

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:

5, 19, 43, 6473

We can check our work by multiplying all of the prime factors together: 5 x 5 x 19 x 43 x 6,473 = 132,211,025

This can also be written as 52 x 191 x 431 x 6,4731 = 132,211,025

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


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