Q: What are the factor combinations of the number 4,752,979?

 A:
Positive:   1 x 47529797 x 67899711 x 43208917 x 27958777 x 61727119 x 39941187 x 254171309 x 3631
Negative: -1 x -4752979-7 x -678997-11 x -432089-17 x -279587-77 x -61727-119 x -39941-187 x -25417-1309 x -3631


How do I find the factor combinations of the number 4,752,979?

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 4,752,979, 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 4,752,979
-1 -4,752,979

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 4,752,979.

Example:
1 x 4,752,979 = 4,752,979
and
-1 x -4,752,979 = 4,752,979
Notice both answers equal 4,752,979

With that explanation out of the way, let's continue. Next, we take the number 4,752,979 and divide it by 2:

4,752,979 ÷ 2 = 2,376,489.5

If the quotient is a whole number, then 2 and 2,376,489.5 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 4,752,979
-1 -4,752,979

Now, we try dividing 4,752,979 by 3:

4,752,979 ÷ 3 = 1,584,326.3333

If the quotient is a whole number, then 3 and 1,584,326.3333 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 4,752,979
-1 -4,752,979

Let's try dividing by 4:

4,752,979 ÷ 4 = 1,188,244.75

If the quotient is a whole number, then 4 and 1,188,244.75 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 4,752,979
-1 4,752,979
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191871,3093,63125,41739,94161,727279,587432,089678,9974,752,979
-1-7-11-17-77-119-187-1,309-3,631-25,417-39,941-61,727-279,587-432,089-678,997-4,752,979

More Examples

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