Q: What are the factor combinations of the number 20,622,613?

 A:
Positive:   1 x 2062261311 x 187478347 x 438779113 x 182501353 x 58421517 x 398891243 x 165913883 x 5311
Negative: -1 x -20622613-11 x -1874783-47 x -438779-113 x -182501-353 x -58421-517 x -39889-1243 x -16591-3883 x -5311


How do I find the factor combinations of the number 20,622,613?

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 20,622,613, 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 20,622,613
-1 -20,622,613

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 20,622,613.

Example:
1 x 20,622,613 = 20,622,613
and
-1 x -20,622,613 = 20,622,613
Notice both answers equal 20,622,613

With that explanation out of the way, let's continue. Next, we take the number 20,622,613 and divide it by 2:

20,622,613 ÷ 2 = 10,311,306.5

If the quotient is a whole number, then 2 and 10,311,306.5 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 20,622,613
-1 -20,622,613

Now, we try dividing 20,622,613 by 3:

20,622,613 ÷ 3 = 6,874,204.3333

If the quotient is a whole number, then 3 and 6,874,204.3333 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 20,622,613
-1 -20,622,613

Let's try dividing by 4:

20,622,613 ÷ 4 = 5,155,653.25

If the quotient is a whole number, then 4 and 5,155,653.25 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 20,622,613
-1 20,622,613
Keep dividing by the next highest number until you cannot divide anymore.

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

111471133535171,2433,8835,31116,59139,88958,421182,501438,7791,874,78320,622,613
-1-11-47-113-353-517-1,243-3,883-5,311-16,591-39,889-58,421-182,501-438,779-1,874,783-20,622,613

More Examples

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