Q: What are the prime factors of the number 18,677,104?

 A: 2, 23, 50753

Why are those the prime factors of the number 18,677,104?

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 18,677,104

18,677,104
Factor Arrows
29,338,552
Factor Arrows
24,669,276
Factor Arrows
22,334,638
Factor Arrows
21,167,319
Factor Arrows
2350,753

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, 23, 50753

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 23 x 50,753 = 18,677,104

This can also be written as 24 x 231 x 50,7531 = 18,677,104

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


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