Q: What are the factor combinations of the number 23,040,143?

 A:
Positive:   1 x 230401437 x 329144949 x 470207
Negative: -1 x -23040143-7 x -3291449-49 x -470207


How do I find the factor combinations of the number 23,040,143?

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 23,040,143, 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 23,040,143
-1 -23,040,143

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 23,040,143.

Example:
1 x 23,040,143 = 23,040,143
and
-1 x -23,040,143 = 23,040,143
Notice both answers equal 23,040,143

With that explanation out of the way, let's continue. Next, we take the number 23,040,143 and divide it by 2:

23,040,143 ÷ 2 = 11,520,071.5

If the quotient is a whole number, then 2 and 11,520,071.5 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 23,040,143
-1 -23,040,143

Now, we try dividing 23,040,143 by 3:

23,040,143 ÷ 3 = 7,680,047.6667

If the quotient is a whole number, then 3 and 7,680,047.6667 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 23,040,143
-1 -23,040,143

Let's try dividing by 4:

23,040,143 ÷ 4 = 5,760,035.75

If the quotient is a whole number, then 4 and 5,760,035.75 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 23,040,143
-1 23,040,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1749470,2073,291,44923,040,143
-1-7-49-470,207-3,291,449-23,040,143

More Examples

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