Q: What are the factor combinations of the number 20,910,013?

 A:
Positive:   1 x 2091001319 x 110052723 x 90913159 x 354407437 x 47849811 x 257831121 x 186531357 x 15409
Negative: -1 x -20910013-19 x -1100527-23 x -909131-59 x -354407-437 x -47849-811 x -25783-1121 x -18653-1357 x -15409


How do I find the factor combinations of the number 20,910,013?

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 20,910,013, 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 20,910,013
-1 -20,910,013

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 20,910,013.

Example:
1 x 20,910,013 = 20,910,013
and
-1 x -20,910,013 = 20,910,013
Notice both answers equal 20,910,013

With that explanation out of the way, let's continue. Next, we take the number 20,910,013 and divide it by 2:

20,910,013 ÷ 2 = 10,455,006.5

If the quotient is a whole number, then 2 and 10,455,006.5 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 20,910,013
-1 -20,910,013

Now, we try dividing 20,910,013 by 3:

20,910,013 ÷ 3 = 6,970,004.3333

If the quotient is a whole number, then 3 and 6,970,004.3333 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 20,910,013
-1 -20,910,013

Let's try dividing by 4:

20,910,013 ÷ 4 = 5,227,503.25

If the quotient is a whole number, then 4 and 5,227,503.25 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 20,910,013
-1 20,910,013
Keep dividing by the next highest number until you cannot divide anymore.

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

11923594378111,1211,35715,40918,65325,78347,849354,407909,1311,100,52720,910,013
-1-19-23-59-437-811-1,121-1,357-15,409-18,653-25,783-47,849-354,407-909,131-1,100,527-20,910,013

More Examples

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