Q: What are the prime factors of the number 26,893,552?

 A: 2, 7, 34303

Why are those the prime factors of the number 26,893,552?

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 26,893,552

26,893,552
Factor Arrows
213,446,776
Factor Arrows
26,723,388
Factor Arrows
23,361,694
Factor Arrows
21,680,847
Factor Arrows
7240,121
Factor Arrows
734,303

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, 34303

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 7 x 34,303 = 26,893,552

This can also be written as 24 x 72 x 34,3031 = 26,893,552

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


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