Q: What are the factor combinations of the number 20,371,535?

 A:
Positive:   1 x 203715355 x 4074307157 x 129755785 x 25951
Negative: -1 x -20371535-5 x -4074307-157 x -129755-785 x -25951


How do I find the factor combinations of the number 20,371,535?

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 20,371,535, 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 20,371,535
-1 -20,371,535

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 20,371,535.

Example:
1 x 20,371,535 = 20,371,535
and
-1 x -20,371,535 = 20,371,535
Notice both answers equal 20,371,535

With that explanation out of the way, let's continue. Next, we take the number 20,371,535 and divide it by 2:

20,371,535 ÷ 2 = 10,185,767.5

If the quotient is a whole number, then 2 and 10,185,767.5 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 20,371,535
-1 -20,371,535

Now, we try dividing 20,371,535 by 3:

20,371,535 ÷ 3 = 6,790,511.6667

If the quotient is a whole number, then 3 and 6,790,511.6667 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 20,371,535
-1 -20,371,535

Let's try dividing by 4:

20,371,535 ÷ 4 = 5,092,883.75

If the quotient is a whole number, then 4 and 5,092,883.75 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 20,371,535
-1 20,371,535
Keep dividing by the next highest number until you cannot divide anymore.

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

1515778525,951129,7554,074,30720,371,535
-1-5-157-785-25,951-129,755-4,074,307-20,371,535

More Examples

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