Q: What are the factor combinations of the number 20,312,501?

 A:
Positive:   1 x 2031250111 x 184659117 x 119485319 x 1069079187 x 108623209 x 97189323 x 628873553 x 5717
Negative: -1 x -20312501-11 x -1846591-17 x -1194853-19 x -1069079-187 x -108623-209 x -97189-323 x -62887-3553 x -5717


How do I find the factor combinations of the number 20,312,501?

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 20,312,501, 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 20,312,501
-1 -20,312,501

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 20,312,501.

Example:
1 x 20,312,501 = 20,312,501
and
-1 x -20,312,501 = 20,312,501
Notice both answers equal 20,312,501

With that explanation out of the way, let's continue. Next, we take the number 20,312,501 and divide it by 2:

20,312,501 ÷ 2 = 10,156,250.5

If the quotient is a whole number, then 2 and 10,156,250.5 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 20,312,501
-1 -20,312,501

Now, we try dividing 20,312,501 by 3:

20,312,501 ÷ 3 = 6,770,833.6667

If the quotient is a whole number, then 3 and 6,770,833.6667 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 20,312,501
-1 -20,312,501

Let's try dividing by 4:

20,312,501 ÷ 4 = 5,078,125.25

If the quotient is a whole number, then 4 and 5,078,125.25 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 20,312,501
-1 20,312,501
Keep dividing by the next highest number until you cannot divide anymore.

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

11117191872093233,5535,71762,88797,189108,6231,069,0791,194,8531,846,59120,312,501
-1-11-17-19-187-209-323-3,553-5,717-62,887-97,189-108,623-1,069,079-1,194,853-1,846,591-20,312,501

More Examples

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