Q: What are the prime factors of the number 26,346,060?

 A: 2, 3, 5, 13, 139

Why are those the prime factors of the number 26,346,060?

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 26,346,060

26,346,060
Factor Arrows
213,173,030
Factor Arrows
26,586,515
Factor Arrows
32,195,505
Factor Arrows
3731,835
Factor Arrows
3243,945
Factor Arrows
381,315
Factor Arrows
327,105
Factor Arrows
39,035
Factor Arrows
51,807
Factor Arrows
13139

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, 13, 139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 13 x 139 = 26,346,060

This can also be written as 22 x 36 x 51 x 131 x 1391 = 26,346,060

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


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