Q: What are the factor combinations of the number 20,032,537?

 A:
Positive:   1 x 200325377 x 286179197 x 206521163 x 122899181 x 110677679 x 295031141 x 175571267 x 15811
Negative: -1 x -20032537-7 x -2861791-97 x -206521-163 x -122899-181 x -110677-679 x -29503-1141 x -17557-1267 x -15811


How do I find the factor combinations of the number 20,032,537?

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 20,032,537, 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 20,032,537
-1 -20,032,537

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 20,032,537.

Example:
1 x 20,032,537 = 20,032,537
and
-1 x -20,032,537 = 20,032,537
Notice both answers equal 20,032,537

With that explanation out of the way, let's continue. Next, we take the number 20,032,537 and divide it by 2:

20,032,537 ÷ 2 = 10,016,268.5

If the quotient is a whole number, then 2 and 10,016,268.5 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 20,032,537
-1 -20,032,537

Now, we try dividing 20,032,537 by 3:

20,032,537 ÷ 3 = 6,677,512.3333

If the quotient is a whole number, then 3 and 6,677,512.3333 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 20,032,537
-1 -20,032,537

Let's try dividing by 4:

20,032,537 ÷ 4 = 5,008,134.25

If the quotient is a whole number, then 4 and 5,008,134.25 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 20,032,537
-1 20,032,537
Keep dividing by the next highest number until you cannot divide anymore.

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

17971631816791,1411,26715,81117,55729,503110,677122,899206,5212,861,79120,032,537
-1-7-97-163-181-679-1,141-1,267-15,811-17,557-29,503-110,677-122,899-206,521-2,861,791-20,032,537

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