Q: What are the prime factors of the number 18,295,650?

 A: 2, 3, 5, 109, 373

Why are those the prime factors of the number 18,295,650?

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 18,295,650

18,295,650
Factor Arrows
29,147,825
Factor Arrows
33,049,275
Factor Arrows
31,016,425
Factor Arrows
5203,285
Factor Arrows
540,657
Factor Arrows
109373

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, 109, 373

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 109 x 373 = 18,295,650

This can also be written as 21 x 32 x 52 x 1091 x 3731 = 18,295,650

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


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