Q: What are the factor combinations of the number 36,069,359?

 A:
Positive:   1 x 3606935917 x 212172723 x 156823329 x 1243771391 x 92249493 x 73163667 x 540773181 x 11339
Negative: -1 x -36069359-17 x -2121727-23 x -1568233-29 x -1243771-391 x -92249-493 x -73163-667 x -54077-3181 x -11339


How do I find the factor combinations of the number 36,069,359?

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 36,069,359, 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 36,069,359
-1 -36,069,359

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 36,069,359.

Example:
1 x 36,069,359 = 36,069,359
and
-1 x -36,069,359 = 36,069,359
Notice both answers equal 36,069,359

With that explanation out of the way, let's continue. Next, we take the number 36,069,359 and divide it by 2:

36,069,359 ÷ 2 = 18,034,679.5

If the quotient is a whole number, then 2 and 18,034,679.5 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 36,069,359
-1 -36,069,359

Now, we try dividing 36,069,359 by 3:

36,069,359 ÷ 3 = 12,023,119.6667

If the quotient is a whole number, then 3 and 12,023,119.6667 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 36,069,359
-1 -36,069,359

Let's try dividing by 4:

36,069,359 ÷ 4 = 9,017,339.75

If the quotient is a whole number, then 4 and 9,017,339.75 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 36,069,359
-1 36,069,359
Keep dividing by the next highest number until you cannot divide anymore.

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

11723293914936673,18111,33954,07773,16392,2491,243,7711,568,2332,121,72736,069,359
-1-17-23-29-391-493-667-3,181-11,339-54,077-73,163-92,249-1,243,771-1,568,233-2,121,727-36,069,359

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