Q: What are the factor combinations of the number 20,826,509?

 A:
Positive:   1 x 2082650911 x 189331953 x 392953139 x 149831257 x 81037583 x 357231529 x 136212827 x 7367
Negative: -1 x -20826509-11 x -1893319-53 x -392953-139 x -149831-257 x -81037-583 x -35723-1529 x -13621-2827 x -7367


How do I find the factor combinations of the number 20,826,509?

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 20,826,509, 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 20,826,509
-1 -20,826,509

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 20,826,509.

Example:
1 x 20,826,509 = 20,826,509
and
-1 x -20,826,509 = 20,826,509
Notice both answers equal 20,826,509

With that explanation out of the way, let's continue. Next, we take the number 20,826,509 and divide it by 2:

20,826,509 ÷ 2 = 10,413,254.5

If the quotient is a whole number, then 2 and 10,413,254.5 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 20,826,509
-1 -20,826,509

Now, we try dividing 20,826,509 by 3:

20,826,509 ÷ 3 = 6,942,169.6667

If the quotient is a whole number, then 3 and 6,942,169.6667 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 20,826,509
-1 -20,826,509

Let's try dividing by 4:

20,826,509 ÷ 4 = 5,206,627.25

If the quotient is a whole number, then 4 and 5,206,627.25 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 20,826,509
-1 20,826,509
Keep dividing by the next highest number until you cannot divide anymore.

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

111531392575831,5292,8277,36713,62135,72381,037149,831392,9531,893,31920,826,509
-1-11-53-139-257-583-1,529-2,827-7,367-13,621-35,723-81,037-149,831-392,953-1,893,319-20,826,509

More Examples

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