Q: What are the prime factors of the number 43,533,412?

 A: 2, 13, 563, 1487

Why are those the prime factors of the number 43,533,412?

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 43,533,412

43,533,412
Factor Arrows
221,766,706
Factor Arrows
210,883,353
Factor Arrows
13837,181
Factor Arrows
5631,487

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, 563, 1487

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 563 x 1,487 = 43,533,412

This can also be written as 22 x 131 x 5631 x 1,4871 = 43,533,412

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


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