Q: What are the factor combinations of the number 23,046,655?

 A:
Positive:   1 x 230466555 x 4609331311 x 741051555 x 14821
Negative: -1 x -23046655-5 x -4609331-311 x -74105-1555 x -14821


How do I find the factor combinations of the number 23,046,655?

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 23,046,655, 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 23,046,655
-1 -23,046,655

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 23,046,655.

Example:
1 x 23,046,655 = 23,046,655
and
-1 x -23,046,655 = 23,046,655
Notice both answers equal 23,046,655

With that explanation out of the way, let's continue. Next, we take the number 23,046,655 and divide it by 2:

23,046,655 ÷ 2 = 11,523,327.5

If the quotient is a whole number, then 2 and 11,523,327.5 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 23,046,655
-1 -23,046,655

Now, we try dividing 23,046,655 by 3:

23,046,655 ÷ 3 = 7,682,218.3333

If the quotient is a whole number, then 3 and 7,682,218.3333 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 23,046,655
-1 -23,046,655

Let's try dividing by 4:

23,046,655 ÷ 4 = 5,761,663.75

If the quotient is a whole number, then 4 and 5,761,663.75 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 23,046,655
-1 23,046,655
Keep dividing by the next highest number until you cannot divide anymore.

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

153111,55514,82174,1054,609,33123,046,655
-1-5-311-1,555-14,821-74,105-4,609,331-23,046,655

More Examples

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