Q: What are the prime factors of the number 16,527,645?

 A: 3, 5, 61, 223

Why are those the prime factors of the number 16,527,645?

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 16,527,645

16,527,645
Factor Arrows
35,509,215
Factor Arrows
31,836,405
Factor Arrows
3612,135
Factor Arrows
3204,045
Factor Arrows
368,015
Factor Arrows
513,603
Factor Arrows
61223

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, 61, 223

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 5 x 61 x 223 = 16,527,645

This can also be written as 35 x 51 x 611 x 2231 = 16,527,645

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


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