Q: What are the factor combinations of the number 40,540,087?

 A:
Positive:   1 x 405400877 x 579144117 x 2384711101 x 401387119 x 340673707 x 573411717 x 236113373 x 12019
Negative: -1 x -40540087-7 x -5791441-17 x -2384711-101 x -401387-119 x -340673-707 x -57341-1717 x -23611-3373 x -12019


How do I find the factor combinations of the number 40,540,087?

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 40,540,087, 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 40,540,087
-1 -40,540,087

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 40,540,087.

Example:
1 x 40,540,087 = 40,540,087
and
-1 x -40,540,087 = 40,540,087
Notice both answers equal 40,540,087

With that explanation out of the way, let's continue. Next, we take the number 40,540,087 and divide it by 2:

40,540,087 ÷ 2 = 20,270,043.5

If the quotient is a whole number, then 2 and 20,270,043.5 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 40,540,087
-1 -40,540,087

Now, we try dividing 40,540,087 by 3:

40,540,087 ÷ 3 = 13,513,362.3333

If the quotient is a whole number, then 3 and 13,513,362.3333 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 40,540,087
-1 -40,540,087

Let's try dividing by 4:

40,540,087 ÷ 4 = 10,135,021.75

If the quotient is a whole number, then 4 and 10,135,021.75 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 40,540,087
-1 40,540,087
Keep dividing by the next highest number until you cannot divide anymore.

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

17171011197071,7173,37312,01923,61157,341340,673401,3872,384,7115,791,44140,540,087
-1-7-17-101-119-707-1,717-3,373-12,019-23,611-57,341-340,673-401,387-2,384,711-5,791,441-40,540,087

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