Q: What are the prime factors of the number 11,660,355?

 A: 3, 5, 7, 457

Why are those the prime factors of the number 11,660,355?

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 11,660,355

11,660,355
Factor Arrows
33,886,785
Factor Arrows
31,295,595
Factor Arrows
3431,865
Factor Arrows
3143,955
Factor Arrows
347,985
Factor Arrows
315,995
Factor Arrows
53,199
Factor Arrows
7457

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, 5, 7, 457

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 457 = 11,660,355

This can also be written as 36 x 51 x 71 x 4571 = 11,660,355

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


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