Q: What are the prime factors of the number 26,005,798?

 A: 2, 7, 13, 43, 3323

Why are those the prime factors of the number 26,005,798?

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 26,005,798

26,005,798
Factor Arrows
213,002,899
Factor Arrows
71,857,557
Factor Arrows
13142,889
Factor Arrows
433,323

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, 13, 43, 3323

We can check our work by multiplying all of the prime factors together: 2 x 7 x 13 x 43 x 3,323 = 26,005,798

This can also be written as 21 x 71 x 131 x 431 x 3,3231 = 26,005,798

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


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