Q: What are the factor combinations of the number 40,218,215?

 A:
Positive:   1 x 402182155 x 804364329 x 138683561 x 659315145 x 277367305 x 1318631769 x 227354547 x 8845
Negative: -1 x -40218215-5 x -8043643-29 x -1386835-61 x -659315-145 x -277367-305 x -131863-1769 x -22735-4547 x -8845


How do I find the factor combinations of the number 40,218,215?

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 40,218,215, 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 40,218,215
-1 -40,218,215

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 40,218,215.

Example:
1 x 40,218,215 = 40,218,215
and
-1 x -40,218,215 = 40,218,215
Notice both answers equal 40,218,215

With that explanation out of the way, let's continue. Next, we take the number 40,218,215 and divide it by 2:

40,218,215 ÷ 2 = 20,109,107.5

If the quotient is a whole number, then 2 and 20,109,107.5 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 40,218,215
-1 -40,218,215

Now, we try dividing 40,218,215 by 3:

40,218,215 ÷ 3 = 13,406,071.6667

If the quotient is a whole number, then 3 and 13,406,071.6667 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 40,218,215
-1 -40,218,215

Let's try dividing by 4:

40,218,215 ÷ 4 = 10,054,553.75

If the quotient is a whole number, then 4 and 10,054,553.75 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 40,218,215
-1 40,218,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1529611453051,7694,5478,84522,735131,863277,367659,3151,386,8358,043,64340,218,215
-1-5-29-61-145-305-1,769-4,547-8,845-22,735-131,863-277,367-659,315-1,386,835-8,043,643-40,218,215

More Examples

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