Q: What are the factor combinations of the number 23,233,243?

 A:
Positive:   1 x 2323324311 x 211211323 x 1010141131 x 177353253 x 91831701 x 331431441 x 161233013 x 7711
Negative: -1 x -23233243-11 x -2112113-23 x -1010141-131 x -177353-253 x -91831-701 x -33143-1441 x -16123-3013 x -7711


How do I find the factor combinations of the number 23,233,243?

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 23,233,243, 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 23,233,243
-1 -23,233,243

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 23,233,243.

Example:
1 x 23,233,243 = 23,233,243
and
-1 x -23,233,243 = 23,233,243
Notice both answers equal 23,233,243

With that explanation out of the way, let's continue. Next, we take the number 23,233,243 and divide it by 2:

23,233,243 ÷ 2 = 11,616,621.5

If the quotient is a whole number, then 2 and 11,616,621.5 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 23,233,243
-1 -23,233,243

Now, we try dividing 23,233,243 by 3:

23,233,243 ÷ 3 = 7,744,414.3333

If the quotient is a whole number, then 3 and 7,744,414.3333 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 23,233,243
-1 -23,233,243

Let's try dividing by 4:

23,233,243 ÷ 4 = 5,808,310.75

If the quotient is a whole number, then 4 and 5,808,310.75 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 23,233,243
-1 23,233,243
Keep dividing by the next highest number until you cannot divide anymore.

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

111231312537011,4413,0137,71116,12333,14391,831177,3531,010,1412,112,11323,233,243
-1-11-23-131-253-701-1,441-3,013-7,711-16,123-33,143-91,831-177,353-1,010,141-2,112,113-23,233,243

More Examples

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