Q: What are the factor combinations of the number 23,232,013?

 A:
Positive:   1 x 232320137 x 331885917 x 1366589119 x 195227197 x 117929991 x 234431379 x 168473349 x 6937
Negative: -1 x -23232013-7 x -3318859-17 x -1366589-119 x -195227-197 x -117929-991 x -23443-1379 x -16847-3349 x -6937


How do I find the factor combinations of the number 23,232,013?

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 23,232,013, 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 23,232,013
-1 -23,232,013

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 23,232,013.

Example:
1 x 23,232,013 = 23,232,013
and
-1 x -23,232,013 = 23,232,013
Notice both answers equal 23,232,013

With that explanation out of the way, let's continue. Next, we take the number 23,232,013 and divide it by 2:

23,232,013 ÷ 2 = 11,616,006.5

If the quotient is a whole number, then 2 and 11,616,006.5 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 23,232,013
-1 -23,232,013

Now, we try dividing 23,232,013 by 3:

23,232,013 ÷ 3 = 7,744,004.3333

If the quotient is a whole number, then 3 and 7,744,004.3333 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 23,232,013
-1 -23,232,013

Let's try dividing by 4:

23,232,013 ÷ 4 = 5,808,003.25

If the quotient is a whole number, then 4 and 5,808,003.25 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 23,232,013
-1 23,232,013
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191979911,3793,3496,93716,84723,443117,929195,2271,366,5893,318,85923,232,013
-1-7-17-119-197-991-1,379-3,349-6,937-16,847-23,443-117,929-195,227-1,366,589-3,318,859-23,232,013

More Examples

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