Q: What are the factor combinations of the number 20,232,121?

 A:
Positive:   1 x 202321217 x 289030313 x 155631791 x 222331223 x 90727997 x 202931561 x 129612899 x 6979
Negative: -1 x -20232121-7 x -2890303-13 x -1556317-91 x -222331-223 x -90727-997 x -20293-1561 x -12961-2899 x -6979


How do I find the factor combinations of the number 20,232,121?

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 20,232,121, 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 20,232,121
-1 -20,232,121

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 20,232,121.

Example:
1 x 20,232,121 = 20,232,121
and
-1 x -20,232,121 = 20,232,121
Notice both answers equal 20,232,121

With that explanation out of the way, let's continue. Next, we take the number 20,232,121 and divide it by 2:

20,232,121 ÷ 2 = 10,116,060.5

If the quotient is a whole number, then 2 and 10,116,060.5 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 20,232,121
-1 -20,232,121

Now, we try dividing 20,232,121 by 3:

20,232,121 ÷ 3 = 6,744,040.3333

If the quotient is a whole number, then 3 and 6,744,040.3333 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 20,232,121
-1 -20,232,121

Let's try dividing by 4:

20,232,121 ÷ 4 = 5,058,030.25

If the quotient is a whole number, then 4 and 5,058,030.25 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 20,232,121
-1 20,232,121
Keep dividing by the next highest number until you cannot divide anymore.

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

1713912239971,5612,8996,97912,96120,29390,727222,3311,556,3172,890,30320,232,121
-1-7-13-91-223-997-1,561-2,899-6,979-12,961-20,293-90,727-222,331-1,556,317-2,890,303-20,232,121

More Examples

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