Q: What are the prime factors of the number 18,502,796?

 A: 2, 13, 101, 271

Why are those the prime factors of the number 18,502,796?

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 18,502,796

18,502,796
Factor Arrows
29,251,398
Factor Arrows
24,625,699
Factor Arrows
13355,823
Factor Arrows
1327,371
Factor Arrows
101271

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, 13, 101, 271

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 13 x 101 x 271 = 18,502,796

This can also be written as 22 x 132 x 1011 x 2711 = 18,502,796

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


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