Q: What are the prime factors of the number 26,360,302?

 A: 2, 17, 83, 9341

Why are those the prime factors of the number 26,360,302?

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 26,360,302

26,360,302
Factor Arrows
213,180,151
Factor Arrows
17775,303
Factor Arrows
839,341

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, 17, 83, 9341

We can check our work by multiplying all of the prime factors together: 2 x 17 x 83 x 9,341 = 26,360,302

This can also be written as 21 x 171 x 831 x 9,3411 = 26,360,302

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


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