Q: What are the factor combinations of the number 36,013,375?

 A:
Positive:   1 x 360133755 x 720267525 x 144053541 x 878375125 x 288107205 x 1756751025 x 351355125 x 7027
Negative: -1 x -36013375-5 x -7202675-25 x -1440535-41 x -878375-125 x -288107-205 x -175675-1025 x -35135-5125 x -7027


How do I find the factor combinations of the number 36,013,375?

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 36,013,375, 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 36,013,375
-1 -36,013,375

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 36,013,375.

Example:
1 x 36,013,375 = 36,013,375
and
-1 x -36,013,375 = 36,013,375
Notice both answers equal 36,013,375

With that explanation out of the way, let's continue. Next, we take the number 36,013,375 and divide it by 2:

36,013,375 ÷ 2 = 18,006,687.5

If the quotient is a whole number, then 2 and 18,006,687.5 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 36,013,375
-1 -36,013,375

Now, we try dividing 36,013,375 by 3:

36,013,375 ÷ 3 = 12,004,458.3333

If the quotient is a whole number, then 3 and 12,004,458.3333 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 36,013,375
-1 -36,013,375

Let's try dividing by 4:

36,013,375 ÷ 4 = 9,003,343.75

If the quotient is a whole number, then 4 and 9,003,343.75 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 36,013,375
-1 36,013,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525411252051,0255,1257,02735,135175,675288,107878,3751,440,5357,202,67536,013,375
-1-5-25-41-125-205-1,025-5,125-7,027-35,135-175,675-288,107-878,375-1,440,535-7,202,675-36,013,375

More Examples

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