Q: What are the prime factors of the number 33,414,524?

 A: 2, 11, 13, 58417

Why are those the prime factors of the number 33,414,524?

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 33,414,524

33,414,524
Factor Arrows
216,707,262
Factor Arrows
28,353,631
Factor Arrows
11759,421
Factor Arrows
1358,417

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, 11, 13, 58417

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 13 x 58,417 = 33,414,524

This can also be written as 22 x 111 x 131 x 58,4171 = 33,414,524

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


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