Q: What are the factor combinations of the number 40,081,067?

 A:
Positive:   1 x 4008106713 x 308315941 x 977587139 x 288353533 x 75199541 x 740871807 x 221815699 x 7033
Negative: -1 x -40081067-13 x -3083159-41 x -977587-139 x -288353-533 x -75199-541 x -74087-1807 x -22181-5699 x -7033


How do I find the factor combinations of the number 40,081,067?

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 40,081,067, 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 40,081,067
-1 -40,081,067

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 40,081,067.

Example:
1 x 40,081,067 = 40,081,067
and
-1 x -40,081,067 = 40,081,067
Notice both answers equal 40,081,067

With that explanation out of the way, let's continue. Next, we take the number 40,081,067 and divide it by 2:

40,081,067 ÷ 2 = 20,040,533.5

If the quotient is a whole number, then 2 and 20,040,533.5 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 40,081,067
-1 -40,081,067

Now, we try dividing 40,081,067 by 3:

40,081,067 ÷ 3 = 13,360,355.6667

If the quotient is a whole number, then 3 and 13,360,355.6667 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 40,081,067
-1 -40,081,067

Let's try dividing by 4:

40,081,067 ÷ 4 = 10,020,266.75

If the quotient is a whole number, then 4 and 10,020,266.75 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 40,081,067
-1 40,081,067
Keep dividing by the next highest number until you cannot divide anymore.

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

113411395335411,8075,6997,03322,18174,08775,199288,353977,5873,083,15940,081,067
-1-13-41-139-533-541-1,807-5,699-7,033-22,181-74,087-75,199-288,353-977,587-3,083,159-40,081,067

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