Q: What are the factor combinations of the number 36,727,361?

 A:
Positive:   1 x 3672736111 x 333885117 x 216043319 x 1933019187 x 196403209 x 175729323 x 1137073553 x 10337
Negative: -1 x -36727361-11 x -3338851-17 x -2160433-19 x -1933019-187 x -196403-209 x -175729-323 x -113707-3553 x -10337


How do I find the factor combinations of the number 36,727,361?

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 36,727,361, 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 36,727,361
-1 -36,727,361

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 36,727,361.

Example:
1 x 36,727,361 = 36,727,361
and
-1 x -36,727,361 = 36,727,361
Notice both answers equal 36,727,361

With that explanation out of the way, let's continue. Next, we take the number 36,727,361 and divide it by 2:

36,727,361 ÷ 2 = 18,363,680.5

If the quotient is a whole number, then 2 and 18,363,680.5 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 36,727,361
-1 -36,727,361

Now, we try dividing 36,727,361 by 3:

36,727,361 ÷ 3 = 12,242,453.6667

If the quotient is a whole number, then 3 and 12,242,453.6667 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 36,727,361
-1 -36,727,361

Let's try dividing by 4:

36,727,361 ÷ 4 = 9,181,840.25

If the quotient is a whole number, then 4 and 9,181,840.25 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 36,727,361
-1 36,727,361
Keep dividing by the next highest number until you cannot divide anymore.

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

11117191872093233,55310,337113,707175,729196,4031,933,0192,160,4333,338,85136,727,361
-1-11-17-19-187-209-323-3,553-10,337-113,707-175,729-196,403-1,933,019-2,160,433-3,338,851-36,727,361

More Examples

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