Q: What are the factor combinations of the number 18,233,299?

 A:
Positive:   1 x 182332997 x 260475717 x 1072547119 x 153221289 x 630912023 x 9013
Negative: -1 x -18233299-7 x -2604757-17 x -1072547-119 x -153221-289 x -63091-2023 x -9013


How do I find the factor combinations of the number 18,233,299?

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 18,233,299, 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 18,233,299
-1 -18,233,299

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 18,233,299.

Example:
1 x 18,233,299 = 18,233,299
and
-1 x -18,233,299 = 18,233,299
Notice both answers equal 18,233,299

With that explanation out of the way, let's continue. Next, we take the number 18,233,299 and divide it by 2:

18,233,299 ÷ 2 = 9,116,649.5

If the quotient is a whole number, then 2 and 9,116,649.5 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 18,233,299
-1 -18,233,299

Now, we try dividing 18,233,299 by 3:

18,233,299 ÷ 3 = 6,077,766.3333

If the quotient is a whole number, then 3 and 6,077,766.3333 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 18,233,299
-1 -18,233,299

Let's try dividing by 4:

18,233,299 ÷ 4 = 4,558,324.75

If the quotient is a whole number, then 4 and 4,558,324.75 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 18,233,299
-1 18,233,299
Keep dividing by the next highest number until you cannot divide anymore.

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

17171192892,0239,01363,091153,2211,072,5472,604,75718,233,299
-1-7-17-119-289-2,023-9,013-63,091-153,221-1,072,547-2,604,757-18,233,299

More Examples

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