Q: What are the factor combinations of the number 23,617,055?

 A:
Positive:   1 x 236170555 x 47234117 x 337386511 x 214700535 x 67477355 x 42940177 x 306715385 x 61343
Negative: -1 x -23617055-5 x -4723411-7 x -3373865-11 x -2147005-35 x -674773-55 x -429401-77 x -306715-385 x -61343


How do I find the factor combinations of the number 23,617,055?

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 23,617,055, 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 23,617,055
-1 -23,617,055

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 23,617,055.

Example:
1 x 23,617,055 = 23,617,055
and
-1 x -23,617,055 = 23,617,055
Notice both answers equal 23,617,055

With that explanation out of the way, let's continue. Next, we take the number 23,617,055 and divide it by 2:

23,617,055 ÷ 2 = 11,808,527.5

If the quotient is a whole number, then 2 and 11,808,527.5 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 23,617,055
-1 -23,617,055

Now, we try dividing 23,617,055 by 3:

23,617,055 ÷ 3 = 7,872,351.6667

If the quotient is a whole number, then 3 and 7,872,351.6667 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 23,617,055
-1 -23,617,055

Let's try dividing by 4:

23,617,055 ÷ 4 = 5,904,263.75

If the quotient is a whole number, then 4 and 5,904,263.75 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 23,617,055
-1 23,617,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738561,343306,715429,401674,7732,147,0053,373,8654,723,41123,617,055
-1-5-7-11-35-55-77-385-61,343-306,715-429,401-674,773-2,147,005-3,373,865-4,723,411-23,617,055

More Examples

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