Q: What are the factor combinations of the number 20,132,413?

 A:
Positive:   1 x 201324137 x 2876059331 x 608232317 x 8689
Negative: -1 x -20132413-7 x -2876059-331 x -60823-2317 x -8689


How do I find the factor combinations of the number 20,132,413?

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 20,132,413, 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 20,132,413
-1 -20,132,413

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 20,132,413.

Example:
1 x 20,132,413 = 20,132,413
and
-1 x -20,132,413 = 20,132,413
Notice both answers equal 20,132,413

With that explanation out of the way, let's continue. Next, we take the number 20,132,413 and divide it by 2:

20,132,413 ÷ 2 = 10,066,206.5

If the quotient is a whole number, then 2 and 10,066,206.5 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 20,132,413
-1 -20,132,413

Now, we try dividing 20,132,413 by 3:

20,132,413 ÷ 3 = 6,710,804.3333

If the quotient is a whole number, then 3 and 6,710,804.3333 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 20,132,413
-1 -20,132,413

Let's try dividing by 4:

20,132,413 ÷ 4 = 5,033,103.25

If the quotient is a whole number, then 4 and 5,033,103.25 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 20,132,413
-1 20,132,413
Keep dividing by the next highest number until you cannot divide anymore.

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

173312,3178,68960,8232,876,05920,132,413
-1-7-331-2,317-8,689-60,823-2,876,059-20,132,413

More Examples

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