Q: What are the factor combinations of the number 23,142,427?

 A:
Positive:   1 x 231424277 x 330606111 x 210385737 x 62547177 x 300551259 x 89353407 x 568612849 x 8123
Negative: -1 x -23142427-7 x -3306061-11 x -2103857-37 x -625471-77 x -300551-259 x -89353-407 x -56861-2849 x -8123


How do I find the factor combinations of the number 23,142,427?

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 23,142,427, 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 23,142,427
-1 -23,142,427

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 23,142,427.

Example:
1 x 23,142,427 = 23,142,427
and
-1 x -23,142,427 = 23,142,427
Notice both answers equal 23,142,427

With that explanation out of the way, let's continue. Next, we take the number 23,142,427 and divide it by 2:

23,142,427 ÷ 2 = 11,571,213.5

If the quotient is a whole number, then 2 and 11,571,213.5 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 23,142,427
-1 -23,142,427

Now, we try dividing 23,142,427 by 3:

23,142,427 ÷ 3 = 7,714,142.3333

If the quotient is a whole number, then 3 and 7,714,142.3333 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 23,142,427
-1 -23,142,427

Let's try dividing by 4:

23,142,427 ÷ 4 = 5,785,606.75

If the quotient is a whole number, then 4 and 5,785,606.75 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 23,142,427
-1 23,142,427
Keep dividing by the next highest number until you cannot divide anymore.

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

171137772594072,8498,12356,86189,353300,551625,4712,103,8573,306,06123,142,427
-1-7-11-37-77-259-407-2,849-8,123-56,861-89,353-300,551-625,471-2,103,857-3,306,061-23,142,427

More Examples

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