Q: What are the prime factors of the number 26,242,200?

 A: 2, 3, 5, 61, 239

Why are those the prime factors of the number 26,242,200?

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 26,242,200

26,242,200
Factor Arrows
213,121,100
Factor Arrows
26,560,550
Factor Arrows
23,280,275
Factor Arrows
31,093,425
Factor Arrows
3364,475
Factor Arrows
572,895
Factor Arrows
514,579
Factor Arrows
61239

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, 3, 5, 61, 239

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 5 x 61 x 239 = 26,242,200

This can also be written as 23 x 32 x 52 x 611 x 2391 = 26,242,200

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


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