Q: What are the factor combinations of the number 40,032,223?

 A:
Positive:   1 x 400322237 x 571888911 x 363929377 x 51989979 x 506737553 x 72391869 x 460676083 x 6581
Negative: -1 x -40032223-7 x -5718889-11 x -3639293-77 x -519899-79 x -506737-553 x -72391-869 x -46067-6083 x -6581


How do I find the factor combinations of the number 40,032,223?

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 40,032,223, 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 40,032,223
-1 -40,032,223

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 40,032,223.

Example:
1 x 40,032,223 = 40,032,223
and
-1 x -40,032,223 = 40,032,223
Notice both answers equal 40,032,223

With that explanation out of the way, let's continue. Next, we take the number 40,032,223 and divide it by 2:

40,032,223 ÷ 2 = 20,016,111.5

If the quotient is a whole number, then 2 and 20,016,111.5 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 40,032,223
-1 -40,032,223

Now, we try dividing 40,032,223 by 3:

40,032,223 ÷ 3 = 13,344,074.3333

If the quotient is a whole number, then 3 and 13,344,074.3333 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 40,032,223
-1 -40,032,223

Let's try dividing by 4:

40,032,223 ÷ 4 = 10,008,055.75

If the quotient is a whole number, then 4 and 10,008,055.75 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 40,032,223
-1 40,032,223
Keep dividing by the next highest number until you cannot divide anymore.

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

171177795538696,0836,58146,06772,391506,737519,8993,639,2935,718,88940,032,223
-1-7-11-77-79-553-869-6,083-6,581-46,067-72,391-506,737-519,899-3,639,293-5,718,889-40,032,223

More Examples

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