Q: What are the factor combinations of the number 27,326,735?

 A:
Positive:   1 x 273267355 x 546534717 x 160745559 x 46316585 x 321491295 x 926331003 x 272455015 x 5449
Negative: -1 x -27326735-5 x -5465347-17 x -1607455-59 x -463165-85 x -321491-295 x -92633-1003 x -27245-5015 x -5449


How do I find the factor combinations of the number 27,326,735?

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 27,326,735, 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 27,326,735
-1 -27,326,735

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 27,326,735.

Example:
1 x 27,326,735 = 27,326,735
and
-1 x -27,326,735 = 27,326,735
Notice both answers equal 27,326,735

With that explanation out of the way, let's continue. Next, we take the number 27,326,735 and divide it by 2:

27,326,735 ÷ 2 = 13,663,367.5

If the quotient is a whole number, then 2 and 13,663,367.5 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 27,326,735
-1 -27,326,735

Now, we try dividing 27,326,735 by 3:

27,326,735 ÷ 3 = 9,108,911.6667

If the quotient is a whole number, then 3 and 9,108,911.6667 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 27,326,735
-1 -27,326,735

Let's try dividing by 4:

27,326,735 ÷ 4 = 6,831,683.75

If the quotient is a whole number, then 4 and 6,831,683.75 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 27,326,735
-1 27,326,735
Keep dividing by the next highest number until you cannot divide anymore.

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

151759852951,0035,0155,44927,24592,633321,491463,1651,607,4555,465,34727,326,735
-1-5-17-59-85-295-1,003-5,015-5,449-27,245-92,633-321,491-463,165-1,607,455-5,465,347-27,326,735

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