Q: What are the factor combinations of the number 24,118,171?

 A:
Positive:   1 x 241181717 x 344545311 x 219256177 x 313223103 x 234157721 x 334511133 x 212873041 x 7931
Negative: -1 x -24118171-7 x -3445453-11 x -2192561-77 x -313223-103 x -234157-721 x -33451-1133 x -21287-3041 x -7931


How do I find the factor combinations of the number 24,118,171?

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 24,118,171, 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 24,118,171
-1 -24,118,171

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 24,118,171.

Example:
1 x 24,118,171 = 24,118,171
and
-1 x -24,118,171 = 24,118,171
Notice both answers equal 24,118,171

With that explanation out of the way, let's continue. Next, we take the number 24,118,171 and divide it by 2:

24,118,171 ÷ 2 = 12,059,085.5

If the quotient is a whole number, then 2 and 12,059,085.5 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 24,118,171
-1 -24,118,171

Now, we try dividing 24,118,171 by 3:

24,118,171 ÷ 3 = 8,039,390.3333

If the quotient is a whole number, then 3 and 8,039,390.3333 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 24,118,171
-1 -24,118,171

Let's try dividing by 4:

24,118,171 ÷ 4 = 6,029,542.75

If the quotient is a whole number, then 4 and 6,029,542.75 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 24,118,171
-1 24,118,171
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771037211,1333,0417,93121,28733,451234,157313,2232,192,5613,445,45324,118,171
-1-7-11-77-103-721-1,133-3,041-7,931-21,287-33,451-234,157-313,223-2,192,561-3,445,453-24,118,171

More Examples

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