Q: What are the factor combinations of the number 40,392,209?

 A:
Positive:   1 x 4039220911 x 367201913 x 310709323 x 1756183143 x 282463253 x 159653299 x 1350913289 x 12281
Negative: -1 x -40392209-11 x -3672019-13 x -3107093-23 x -1756183-143 x -282463-253 x -159653-299 x -135091-3289 x -12281


How do I find the factor combinations of the number 40,392,209?

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 40,392,209, 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 40,392,209
-1 -40,392,209

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 40,392,209.

Example:
1 x 40,392,209 = 40,392,209
and
-1 x -40,392,209 = 40,392,209
Notice both answers equal 40,392,209

With that explanation out of the way, let's continue. Next, we take the number 40,392,209 and divide it by 2:

40,392,209 ÷ 2 = 20,196,104.5

If the quotient is a whole number, then 2 and 20,196,104.5 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 40,392,209
-1 -40,392,209

Now, we try dividing 40,392,209 by 3:

40,392,209 ÷ 3 = 13,464,069.6667

If the quotient is a whole number, then 3 and 13,464,069.6667 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 40,392,209
-1 -40,392,209

Let's try dividing by 4:

40,392,209 ÷ 4 = 10,098,052.25

If the quotient is a whole number, then 4 and 10,098,052.25 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 40,392,209
-1 40,392,209
Keep dividing by the next highest number until you cannot divide anymore.

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

11113231432532993,28912,281135,091159,653282,4631,756,1833,107,0933,672,01940,392,209
-1-11-13-23-143-253-299-3,289-12,281-135,091-159,653-282,463-1,756,183-3,107,093-3,672,019-40,392,209

More Examples

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