Q: What are the prime factors of the number 2,182,336?

 A: 2, 13, 43, 61

Why are those the prime factors of the number 2,182,336?

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 2,182,336

2,182,336
Factor Arrows
21,091,168
Factor Arrows
2545,584
Factor Arrows
2272,792
Factor Arrows
2136,396
Factor Arrows
268,198
Factor Arrows
234,099
Factor Arrows
132,623
Factor Arrows
4361

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, 43, 61

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 13 x 43 x 61 = 2,182,336

This can also be written as 26 x 131 x 431 x 611 = 2,182,336

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


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