Q: What are the factor combinations of the number 43,707,565?

 A:
Positive:   1 x 437075655 x 874151311 x 397341543 x 101645555 x 794683215 x 203291473 x 924052365 x 18481
Negative: -1 x -43707565-5 x -8741513-11 x -3973415-43 x -1016455-55 x -794683-215 x -203291-473 x -92405-2365 x -18481


How do I find the factor combinations of the number 43,707,565?

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 43,707,565, 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 43,707,565
-1 -43,707,565

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 43,707,565.

Example:
1 x 43,707,565 = 43,707,565
and
-1 x -43,707,565 = 43,707,565
Notice both answers equal 43,707,565

With that explanation out of the way, let's continue. Next, we take the number 43,707,565 and divide it by 2:

43,707,565 ÷ 2 = 21,853,782.5

If the quotient is a whole number, then 2 and 21,853,782.5 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 43,707,565
-1 -43,707,565

Now, we try dividing 43,707,565 by 3:

43,707,565 ÷ 3 = 14,569,188.3333

If the quotient is a whole number, then 3 and 14,569,188.3333 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 43,707,565
-1 -43,707,565

Let's try dividing by 4:

43,707,565 ÷ 4 = 10,926,891.25

If the quotient is a whole number, then 4 and 10,926,891.25 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 43,707,565
-1 43,707,565
Keep dividing by the next highest number until you cannot divide anymore.

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

151143552154732,36518,48192,405203,291794,6831,016,4553,973,4158,741,51343,707,565
-1-5-11-43-55-215-473-2,365-18,481-92,405-203,291-794,683-1,016,455-3,973,415-8,741,513-43,707,565

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