Q: What are the prime factors of the number 20,247,680?

 A: 2, 5, 17, 1861

Why are those the prime factors of the number 20,247,680?

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 20,247,680

20,247,680
Factor Arrows
210,123,840
Factor Arrows
25,061,920
Factor Arrows
22,530,960
Factor Arrows
21,265,480
Factor Arrows
2632,740
Factor Arrows
2316,370
Factor Arrows
2158,185
Factor Arrows
531,637
Factor Arrows
171,861

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, 5, 17, 1861

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17 x 1,861 = 20,247,680

This can also be written as 27 x 51 x 171 x 1,8611 = 20,247,680

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


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