Q: What are the prime factors of the number 26,060,048?

 A: 2, 7, 17, 13687

Why are those the prime factors of the number 26,060,048?

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 26,060,048

26,060,048
Factor Arrows
213,030,024
Factor Arrows
26,515,012
Factor Arrows
23,257,506
Factor Arrows
21,628,753
Factor Arrows
7232,679
Factor Arrows
1713,687

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, 7, 17, 13687

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 17 x 13,687 = 26,060,048

This can also be written as 24 x 71 x 171 x 13,6871 = 26,060,048

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


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