Q: What are the prime factors of the number 26,913,280?

 A: 2, 5, 10513

Why are those the prime factors of the number 26,913,280?

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 26,913,280

26,913,280
Factor Arrows
213,456,640
Factor Arrows
26,728,320
Factor Arrows
23,364,160
Factor Arrows
21,682,080
Factor Arrows
2841,040
Factor Arrows
2420,520
Factor Arrows
2210,260
Factor Arrows
2105,130
Factor Arrows
252,565
Factor Arrows
510,513

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, 5, 10513

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 2 x 2 x 2 x 5 x 10,513 = 26,913,280

This can also be written as 29 x 51 x 10,5131 = 26,913,280

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


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