Q: What are the factor combinations of the number 20,231,393?

 A:
Positive:   1 x 202313937 x 289019913 x 155626191 x 222323
Negative: -1 x -20231393-7 x -2890199-13 x -1556261-91 x -222323


How do I find the factor combinations of the number 20,231,393?

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 20,231,393, 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 20,231,393
-1 -20,231,393

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 20,231,393.

Example:
1 x 20,231,393 = 20,231,393
and
-1 x -20,231,393 = 20,231,393
Notice both answers equal 20,231,393

With that explanation out of the way, let's continue. Next, we take the number 20,231,393 and divide it by 2:

20,231,393 ÷ 2 = 10,115,696.5

If the quotient is a whole number, then 2 and 10,115,696.5 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 20,231,393
-1 -20,231,393

Now, we try dividing 20,231,393 by 3:

20,231,393 ÷ 3 = 6,743,797.6667

If the quotient is a whole number, then 3 and 6,743,797.6667 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 20,231,393
-1 -20,231,393

Let's try dividing by 4:

20,231,393 ÷ 4 = 5,057,848.25

If the quotient is a whole number, then 4 and 5,057,848.25 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 20,231,393
-1 20,231,393
Keep dividing by the next highest number until you cannot divide anymore.

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

171391222,3231,556,2612,890,19920,231,393
-1-7-13-91-222,323-1,556,261-2,890,199-20,231,393

More Examples

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