Q: What are the prime factors of the number 18,820,416?

 A: 2, 3, 83, 1181

Why are those the prime factors of the number 18,820,416?

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 18,820,416

18,820,416
Factor Arrows
29,410,208
Factor Arrows
24,705,104
Factor Arrows
22,352,552
Factor Arrows
21,176,276
Factor Arrows
2588,138
Factor Arrows
2294,069
Factor Arrows
398,023
Factor Arrows
831,181

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, 83, 1181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 83 x 1,181 = 18,820,416

This can also be written as 26 x 31 x 831 x 1,1811 = 18,820,416

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


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