Q: What are the factor combinations of the number 20,716,411?

 A:
Positive:   1 x 2071641129 x 71435937 x 55990343 x 481777449 x 461391073 x 193071247 x 166131591 x 13021
Negative: -1 x -20716411-29 x -714359-37 x -559903-43 x -481777-449 x -46139-1073 x -19307-1247 x -16613-1591 x -13021


How do I find the factor combinations of the number 20,716,411?

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 20,716,411, 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 20,716,411
-1 -20,716,411

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 20,716,411.

Example:
1 x 20,716,411 = 20,716,411
and
-1 x -20,716,411 = 20,716,411
Notice both answers equal 20,716,411

With that explanation out of the way, let's continue. Next, we take the number 20,716,411 and divide it by 2:

20,716,411 ÷ 2 = 10,358,205.5

If the quotient is a whole number, then 2 and 10,358,205.5 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 20,716,411
-1 -20,716,411

Now, we try dividing 20,716,411 by 3:

20,716,411 ÷ 3 = 6,905,470.3333

If the quotient is a whole number, then 3 and 6,905,470.3333 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 20,716,411
-1 -20,716,411

Let's try dividing by 4:

20,716,411 ÷ 4 = 5,179,102.75

If the quotient is a whole number, then 4 and 5,179,102.75 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 20,716,411
-1 20,716,411
Keep dividing by the next highest number until you cannot divide anymore.

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

12937434491,0731,2471,59113,02116,61319,30746,139481,777559,903714,35920,716,411
-1-29-37-43-449-1,073-1,247-1,591-13,021-16,613-19,307-46,139-481,777-559,903-714,359-20,716,411

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