Q: What are the factor combinations of the number 23,146,367?

 A:
Positive:   1 x 2314636717 x 136155131 x 746657167 x 138601263 x 88009527 x 439212839 x 81534471 x 5177
Negative: -1 x -23146367-17 x -1361551-31 x -746657-167 x -138601-263 x -88009-527 x -43921-2839 x -8153-4471 x -5177


How do I find the factor combinations of the number 23,146,367?

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 23,146,367, 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 23,146,367
-1 -23,146,367

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 23,146,367.

Example:
1 x 23,146,367 = 23,146,367
and
-1 x -23,146,367 = 23,146,367
Notice both answers equal 23,146,367

With that explanation out of the way, let's continue. Next, we take the number 23,146,367 and divide it by 2:

23,146,367 ÷ 2 = 11,573,183.5

If the quotient is a whole number, then 2 and 11,573,183.5 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 23,146,367
-1 -23,146,367

Now, we try dividing 23,146,367 by 3:

23,146,367 ÷ 3 = 7,715,455.6667

If the quotient is a whole number, then 3 and 7,715,455.6667 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 23,146,367
-1 -23,146,367

Let's try dividing by 4:

23,146,367 ÷ 4 = 5,786,591.75

If the quotient is a whole number, then 4 and 5,786,591.75 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 23,146,367
-1 23,146,367
Keep dividing by the next highest number until you cannot divide anymore.

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

117311672635272,8394,4715,1778,15343,92188,009138,601746,6571,361,55123,146,367
-1-17-31-167-263-527-2,839-4,471-5,177-8,153-43,921-88,009-138,601-746,657-1,361,551-23,146,367

More Examples

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