Q: What are the prime factors of the number 26,245,696?

 A: 2, 29, 79, 179

Why are those the prime factors of the number 26,245,696?

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 26,245,696

26,245,696
Factor Arrows
213,122,848
Factor Arrows
26,561,424
Factor Arrows
23,280,712
Factor Arrows
21,640,356
Factor Arrows
2820,178
Factor Arrows
2410,089
Factor Arrows
2914,141
Factor Arrows
79179

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, 29, 79, 179

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 29 x 79 x 179 = 26,245,696

This can also be written as 26 x 291 x 791 x 1791 = 26,245,696

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


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