Q: What are the factor combinations of the number 18,123,853?

 A:
Positive:   1 x 1812385311 x 164762317 x 106610919 x 953887187 x 96919209 x 86717323 x 561113553 x 5101
Negative: -1 x -18123853-11 x -1647623-17 x -1066109-19 x -953887-187 x -96919-209 x -86717-323 x -56111-3553 x -5101


How do I find the factor combinations of the number 18,123,853?

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 18,123,853, 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 18,123,853
-1 -18,123,853

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 18,123,853.

Example:
1 x 18,123,853 = 18,123,853
and
-1 x -18,123,853 = 18,123,853
Notice both answers equal 18,123,853

With that explanation out of the way, let's continue. Next, we take the number 18,123,853 and divide it by 2:

18,123,853 ÷ 2 = 9,061,926.5

If the quotient is a whole number, then 2 and 9,061,926.5 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 18,123,853
-1 -18,123,853

Now, we try dividing 18,123,853 by 3:

18,123,853 ÷ 3 = 6,041,284.3333

If the quotient is a whole number, then 3 and 6,041,284.3333 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 18,123,853
-1 -18,123,853

Let's try dividing by 4:

18,123,853 ÷ 4 = 4,530,963.25

If the quotient is a whole number, then 4 and 4,530,963.25 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 18,123,853
-1 18,123,853
Keep dividing by the next highest number until you cannot divide anymore.

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

11117191872093233,5535,10156,11186,71796,919953,8871,066,1091,647,62318,123,853
-1-11-17-19-187-209-323-3,553-5,101-56,111-86,717-96,919-953,887-1,066,109-1,647,623-18,123,853

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