Q: What are the prime factors of the number 33,746,320?

 A: 2, 5, 113, 3733

Why are those the prime factors of the number 33,746,320?

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 33,746,320

33,746,320
Factor Arrows
216,873,160
Factor Arrows
28,436,580
Factor Arrows
24,218,290
Factor Arrows
22,109,145
Factor Arrows
5421,829
Factor Arrows
1133,733

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, 113, 3733

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 113 x 3,733 = 33,746,320

This can also be written as 24 x 51 x 1131 x 3,7331 = 33,746,320

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


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