Q: What are the factor combinations of the number 36,215,935?

 A:
Positive:   1 x 362159355 x 72431877 x 517370535 x 1034741113 x 320495565 x 64099791 x 457853955 x 9157
Negative: -1 x -36215935-5 x -7243187-7 x -5173705-35 x -1034741-113 x -320495-565 x -64099-791 x -45785-3955 x -9157


How do I find the factor combinations of the number 36,215,935?

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 36,215,935, 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 36,215,935
-1 -36,215,935

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 36,215,935.

Example:
1 x 36,215,935 = 36,215,935
and
-1 x -36,215,935 = 36,215,935
Notice both answers equal 36,215,935

With that explanation out of the way, let's continue. Next, we take the number 36,215,935 and divide it by 2:

36,215,935 ÷ 2 = 18,107,967.5

If the quotient is a whole number, then 2 and 18,107,967.5 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 36,215,935
-1 -36,215,935

Now, we try dividing 36,215,935 by 3:

36,215,935 ÷ 3 = 12,071,978.3333

If the quotient is a whole number, then 3 and 12,071,978.3333 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 36,215,935
-1 -36,215,935

Let's try dividing by 4:

36,215,935 ÷ 4 = 9,053,983.75

If the quotient is a whole number, then 4 and 9,053,983.75 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 36,215,935
-1 36,215,935
Keep dividing by the next highest number until you cannot divide anymore.

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

157351135657913,9559,15745,78564,099320,4951,034,7415,173,7057,243,18736,215,935
-1-5-7-35-113-565-791-3,955-9,157-45,785-64,099-320,495-1,034,741-5,173,705-7,243,187-36,215,935

More Examples

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