Q: What are the prime factors of the number 132,048,690?

 A: 2, 3, 5, 17, 258919

Why are those the prime factors of the number 132,048,690?

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 132,048,690

132,048,690
Factor Arrows
266,024,345
Factor Arrows
322,008,115
Factor Arrows
54,401,623
Factor Arrows
17258,919

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, 17, 258919

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 17 x 258,919 = 132,048,690

This can also be written as 21 x 31 x 51 x 171 x 258,9191 = 132,048,690

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


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