Q: What are the factor combinations of the number 20,466,455?

 A:
Positive:   1 x 204664555 x 4093291907 x 225654513 x 4535
Negative: -1 x -20466455-5 x -4093291-907 x -22565-4513 x -4535


How do I find the factor combinations of the number 20,466,455?

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 20,466,455, 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 20,466,455
-1 -20,466,455

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 20,466,455.

Example:
1 x 20,466,455 = 20,466,455
and
-1 x -20,466,455 = 20,466,455
Notice both answers equal 20,466,455

With that explanation out of the way, let's continue. Next, we take the number 20,466,455 and divide it by 2:

20,466,455 ÷ 2 = 10,233,227.5

If the quotient is a whole number, then 2 and 10,233,227.5 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 20,466,455
-1 -20,466,455

Now, we try dividing 20,466,455 by 3:

20,466,455 ÷ 3 = 6,822,151.6667

If the quotient is a whole number, then 3 and 6,822,151.6667 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 20,466,455
-1 -20,466,455

Let's try dividing by 4:

20,466,455 ÷ 4 = 5,116,613.75

If the quotient is a whole number, then 4 and 5,116,613.75 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 20,466,455
-1 20,466,455
Keep dividing by the next highest number until you cannot divide anymore.

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

159074,5134,53522,5654,093,29120,466,455
-1-5-907-4,513-4,535-22,565-4,093,291-20,466,455

More Examples

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