Q: What are the factor combinations of the number 43,832,375?

 A:
Positive:   1 x 438323755 x 876647517 x 257837525 x 175329585 x 515675125 x 350659425 x 1031352125 x 20627
Negative: -1 x -43832375-5 x -8766475-17 x -2578375-25 x -1753295-85 x -515675-125 x -350659-425 x -103135-2125 x -20627


How do I find the factor combinations of the number 43,832,375?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 43,832,375, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 43,832,375
-1 -43,832,375

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 43,832,375.

Example:
1 x 43,832,375 = 43,832,375
and
-1 x -43,832,375 = 43,832,375
Notice both answers equal 43,832,375

With that explanation out of the way, let's continue. Next, we take the number 43,832,375 and divide it by 2:

43,832,375 ÷ 2 = 21,916,187.5

If the quotient is a whole number, then 2 and 21,916,187.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 43,832,375
-1 -43,832,375

Now, we try dividing 43,832,375 by 3:

43,832,375 ÷ 3 = 14,610,791.6667

If the quotient is a whole number, then 3 and 14,610,791.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 43,832,375
-1 -43,832,375

Let's try dividing by 4:

43,832,375 ÷ 4 = 10,958,093.75

If the quotient is a whole number, then 4 and 10,958,093.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 43,832,375
-1 43,832,375
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

151725851254252,12520,627103,135350,659515,6751,753,2952,578,3758,766,47543,832,375
-1-5-17-25-85-125-425-2,125-20,627-103,135-350,659-515,675-1,753,295-2,578,375-8,766,475-43,832,375

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