Q: What are the factor combinations of the number 43,637,215?

 A:
Positive:   1 x 436372155 x 872744317 x 256689585 x 513379349 x 1250351471 x 296651745 x 250075933 x 7355
Negative: -1 x -43637215-5 x -8727443-17 x -2566895-85 x -513379-349 x -125035-1471 x -29665-1745 x -25007-5933 x -7355


How do I find the factor combinations of the number 43,637,215?

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 43,637,215, 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 43,637,215
-1 -43,637,215

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 43,637,215.

Example:
1 x 43,637,215 = 43,637,215
and
-1 x -43,637,215 = 43,637,215
Notice both answers equal 43,637,215

With that explanation out of the way, let's continue. Next, we take the number 43,637,215 and divide it by 2:

43,637,215 ÷ 2 = 21,818,607.5

If the quotient is a whole number, then 2 and 21,818,607.5 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 43,637,215
-1 -43,637,215

Now, we try dividing 43,637,215 by 3:

43,637,215 ÷ 3 = 14,545,738.3333

If the quotient is a whole number, then 3 and 14,545,738.3333 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 43,637,215
-1 -43,637,215

Let's try dividing by 4:

43,637,215 ÷ 4 = 10,909,303.75

If the quotient is a whole number, then 4 and 10,909,303.75 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 43,637,215
-1 43,637,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1517853491,4711,7455,9337,35525,00729,665125,035513,3792,566,8958,727,44343,637,215
-1-5-17-85-349-1,471-1,745-5,933-7,355-25,007-29,665-125,035-513,379-2,566,895-8,727,443-43,637,215

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