Q: What are the prime factors of the number 8,261,487?

 A: 3, 13, 23537

Why are those the prime factors of the number 8,261,487?

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 8,261,487

8,261,487
Factor Arrows
32,753,829
Factor Arrows
3917,943
Factor Arrows
3305,981
Factor Arrows
1323,537

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:

3, 13, 23537

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13 x 23,537 = 8,261,487

This can also be written as 33 x 131 x 23,5371 = 8,261,487

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


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