Q: What are the factor combinations of the number 23,143,139?

 A:
Positive:   1 x 2314313953 x 43666383 x 2788334399 x 5261
Negative: -1 x -23143139-53 x -436663-83 x -278833-4399 x -5261


How do I find the factor combinations of the number 23,143,139?

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 23,143,139, 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 23,143,139
-1 -23,143,139

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 23,143,139.

Example:
1 x 23,143,139 = 23,143,139
and
-1 x -23,143,139 = 23,143,139
Notice both answers equal 23,143,139

With that explanation out of the way, let's continue. Next, we take the number 23,143,139 and divide it by 2:

23,143,139 ÷ 2 = 11,571,569.5

If the quotient is a whole number, then 2 and 11,571,569.5 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 23,143,139
-1 -23,143,139

Now, we try dividing 23,143,139 by 3:

23,143,139 ÷ 3 = 7,714,379.6667

If the quotient is a whole number, then 3 and 7,714,379.6667 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 23,143,139
-1 -23,143,139

Let's try dividing by 4:

23,143,139 ÷ 4 = 5,785,784.75

If the quotient is a whole number, then 4 and 5,785,784.75 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 23,143,139
-1 23,143,139
Keep dividing by the next highest number until you cannot divide anymore.

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

153834,3995,261278,833436,66323,143,139
-1-53-83-4,399-5,261-278,833-436,663-23,143,139

More Examples

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