Q: What are the prime factors of the number 11,661,504?

 A: 2, 3, 60737

Why are those the prime factors of the number 11,661,504?

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 11,661,504

11,661,504
Factor Arrows
25,830,752
Factor Arrows
22,915,376
Factor Arrows
21,457,688
Factor Arrows
2728,844
Factor Arrows
2364,422
Factor Arrows
2182,211
Factor Arrows
360,737

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, 60737

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 3 x 60,737 = 11,661,504

This can also be written as 26 x 31 x 60,7371 = 11,661,504

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


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