Q: What are the prime factors of the number 23,689,104?

 A: 2, 3, 493523

Why are those the prime factors of the number 23,689,104?

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 23,689,104

23,689,104
Factor Arrows
211,844,552
Factor Arrows
25,922,276
Factor Arrows
22,961,138
Factor Arrows
21,480,569
Factor Arrows
3493,523

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, 493523

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 493,523 = 23,689,104

This can also be written as 24 x 31 x 493,5231 = 23,689,104

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


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