Q: What are the factor combinations of the number 23,331,745?

 A:
Positive:   1 x 233317455 x 466634967 x 348235257 x 90785271 x 86095335 x 696471285 x 181571355 x 17219
Negative: -1 x -23331745-5 x -4666349-67 x -348235-257 x -90785-271 x -86095-335 x -69647-1285 x -18157-1355 x -17219


How do I find the factor combinations of the number 23,331,745?

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 23,331,745, 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 23,331,745
-1 -23,331,745

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 23,331,745.

Example:
1 x 23,331,745 = 23,331,745
and
-1 x -23,331,745 = 23,331,745
Notice both answers equal 23,331,745

With that explanation out of the way, let's continue. Next, we take the number 23,331,745 and divide it by 2:

23,331,745 ÷ 2 = 11,665,872.5

If the quotient is a whole number, then 2 and 11,665,872.5 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 23,331,745
-1 -23,331,745

Now, we try dividing 23,331,745 by 3:

23,331,745 ÷ 3 = 7,777,248.3333

If the quotient is a whole number, then 3 and 7,777,248.3333 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 23,331,745
-1 -23,331,745

Let's try dividing by 4:

23,331,745 ÷ 4 = 5,832,936.25

If the quotient is a whole number, then 4 and 5,832,936.25 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 23,331,745
-1 23,331,745
Keep dividing by the next highest number until you cannot divide anymore.

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

15672572713351,2851,35517,21918,15769,64786,09590,785348,2354,666,34923,331,745
-1-5-67-257-271-335-1,285-1,355-17,219-18,157-69,647-86,095-90,785-348,235-4,666,349-23,331,745

More Examples

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