Q: What are the prime factors of the number 26,607,424?

 A: 2, 31, 13411

Why are those the prime factors of the number 26,607,424?

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 26,607,424

26,607,424
Factor Arrows
213,303,712
Factor Arrows
26,651,856
Factor Arrows
23,325,928
Factor Arrows
21,662,964
Factor Arrows
2831,482
Factor Arrows
2415,741
Factor Arrows
3113,411

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, 31, 13411

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 31 x 13,411 = 26,607,424

This can also be written as 26 x 311 x 13,4111 = 26,607,424

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


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