Q: What are the prime factors of the number 43,340,032?

 A: 2, 79, 2143

Why are those the prime factors of the number 43,340,032?

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 43,340,032

43,340,032
Factor Arrows
221,670,016
Factor Arrows
210,835,008
Factor Arrows
25,417,504
Factor Arrows
22,708,752
Factor Arrows
21,354,376
Factor Arrows
2677,188
Factor Arrows
2338,594
Factor Arrows
2169,297
Factor Arrows
792,143

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, 79, 2143

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 2 x 2 x 79 x 2,143 = 43,340,032

This can also be written as 28 x 791 x 2,1431 = 43,340,032

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


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