Q: What are the prime factors of the number 26,646,768?

 A: 2, 3, 211, 877

Why are those the prime factors of the number 26,646,768?

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 26,646,768

26,646,768
Factor Arrows
213,323,384
Factor Arrows
26,661,692
Factor Arrows
23,330,846
Factor Arrows
21,665,423
Factor Arrows
3555,141
Factor Arrows
3185,047
Factor Arrows
211877

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, 211, 877

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 211 x 877 = 26,646,768

This can also be written as 24 x 32 x 2111 x 8771 = 26,646,768

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


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