Q: What are the prime factors of the number 26,724,716?

 A: 2, 19, 73, 4817

Why are those the prime factors of the number 26,724,716?

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 26,724,716

26,724,716
Factor Arrows
213,362,358
Factor Arrows
26,681,179
Factor Arrows
19351,641
Factor Arrows
734,817

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, 19, 73, 4817

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 73 x 4,817 = 26,724,716

This can also be written as 22 x 191 x 731 x 4,8171 = 26,724,716

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


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