Q: What are the factor combinations of the number 23,157,431?

 A:
Positive:   1 x 2315743111 x 210522171 x 326161149 x 155419199 x 116369781 x 296511639 x 141292189 x 10579
Negative: -1 x -23157431-11 x -2105221-71 x -326161-149 x -155419-199 x -116369-781 x -29651-1639 x -14129-2189 x -10579


How do I find the factor combinations of the number 23,157,431?

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 23,157,431, 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 23,157,431
-1 -23,157,431

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 23,157,431.

Example:
1 x 23,157,431 = 23,157,431
and
-1 x -23,157,431 = 23,157,431
Notice both answers equal 23,157,431

With that explanation out of the way, let's continue. Next, we take the number 23,157,431 and divide it by 2:

23,157,431 ÷ 2 = 11,578,715.5

If the quotient is a whole number, then 2 and 11,578,715.5 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 23,157,431
-1 -23,157,431

Now, we try dividing 23,157,431 by 3:

23,157,431 ÷ 3 = 7,719,143.6667

If the quotient is a whole number, then 3 and 7,719,143.6667 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 23,157,431
-1 -23,157,431

Let's try dividing by 4:

23,157,431 ÷ 4 = 5,789,357.75

If the quotient is a whole number, then 4 and 5,789,357.75 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 23,157,431
-1 23,157,431
Keep dividing by the next highest number until you cannot divide anymore.

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

111711491997811,6392,18910,57914,12929,651116,369155,419326,1612,105,22123,157,431
-1-11-71-149-199-781-1,639-2,189-10,579-14,129-29,651-116,369-155,419-326,161-2,105,221-23,157,431

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