Q: What are the factor combinations of the number 23,010,143?

 A:
Positive:   1 x 2301014313 x 177001123 x 100044141 x 561223299 x 76957533 x 43171943 x 244011877 x 12259
Negative: -1 x -23010143-13 x -1770011-23 x -1000441-41 x -561223-299 x -76957-533 x -43171-943 x -24401-1877 x -12259


How do I find the factor combinations of the number 23,010,143?

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 23,010,143, 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 23,010,143
-1 -23,010,143

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 23,010,143.

Example:
1 x 23,010,143 = 23,010,143
and
-1 x -23,010,143 = 23,010,143
Notice both answers equal 23,010,143

With that explanation out of the way, let's continue. Next, we take the number 23,010,143 and divide it by 2:

23,010,143 ÷ 2 = 11,505,071.5

If the quotient is a whole number, then 2 and 11,505,071.5 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 23,010,143
-1 -23,010,143

Now, we try dividing 23,010,143 by 3:

23,010,143 ÷ 3 = 7,670,047.6667

If the quotient is a whole number, then 3 and 7,670,047.6667 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 23,010,143
-1 -23,010,143

Let's try dividing by 4:

23,010,143 ÷ 4 = 5,752,535.75

If the quotient is a whole number, then 4 and 5,752,535.75 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 23,010,143
-1 23,010,143
Keep dividing by the next highest number until you cannot divide anymore.

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

11323412995339431,87712,25924,40143,17176,957561,2231,000,4411,770,01123,010,143
-1-13-23-41-299-533-943-1,877-12,259-24,401-43,171-76,957-561,223-1,000,441-1,770,011-23,010,143

More Examples

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