Q: What are the prime factors of the number 26,020,336?

 A: 2, 17, 271, 353

Why are those the prime factors of the number 26,020,336?

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 26,020,336

26,020,336
Factor Arrows
213,010,168
Factor Arrows
26,505,084
Factor Arrows
23,252,542
Factor Arrows
21,626,271
Factor Arrows
1795,663
Factor Arrows
271353

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, 271, 353

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 271 x 353 = 26,020,336

This can also be written as 24 x 171 x 2711 x 3531 = 26,020,336

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


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