Q: What are the prime factors of the number 23,035,616?

 A: 2, 43, 16741

Why are those the prime factors of the number 23,035,616?

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 23,035,616

23,035,616
Factor Arrows
211,517,808
Factor Arrows
25,758,904
Factor Arrows
22,879,452
Factor Arrows
21,439,726
Factor Arrows
2719,863
Factor Arrows
4316,741

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, 43, 16741

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 43 x 16,741 = 23,035,616

This can also be written as 25 x 431 x 16,7411 = 23,035,616

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


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