Q: What are the prime factors of the number 11,783,420?

 A: 2, 5, 11, 19, 2819

Why are those the prime factors of the number 11,783,420?

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 11,783,420

11,783,420
Factor Arrows
25,891,710
Factor Arrows
22,945,855
Factor Arrows
5589,171
Factor Arrows
1153,561
Factor Arrows
192,819

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, 5, 11, 19, 2819

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 19 x 2,819 = 11,783,420

This can also be written as 22 x 51 x 111 x 191 x 2,8191 = 11,783,420

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


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