Q: What are the factor combinations of the number 431,114,233?

 A:
Positive:   1 x 43111423311 x 391922034423 x 974718861 x 48653
Negative: -1 x -431114233-11 x -39192203-4423 x -97471-8861 x -48653


How do I find the factor combinations of the number 431,114,233?

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 431,114,233, 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.

1 431,114,233
-1 -431,114,233

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 431,114,233.

Example:
1 x 431,114,233 = 431,114,233
and
-1 x -431,114,233 = 431,114,233
Notice both answers equal 431,114,233

With that explanation out of the way, let's continue. Next, we take the number 431,114,233 and divide it by 2:

431,114,233 ÷ 2 = 215,557,116.5

If the quotient is a whole number, then 2 and 215,557,116.5 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:

1 431,114,233
-1 -431,114,233

Now, we try dividing 431,114,233 by 3:

431,114,233 ÷ 3 = 143,704,744.3333

If the quotient is a whole number, then 3 and 143,704,744.3333 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:

1 431,114,233
-1 -431,114,233

Let's try dividing by 4:

431,114,233 ÷ 4 = 107,778,558.25

If the quotient is a whole number, then 4 and 107,778,558.25 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:

1 431,114,233
-1 431,114,233
Keep dividing by the next highest number until you cannot divide anymore.

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

1114,4238,86148,65397,47139,192,203431,114,233
-1-11-4,423-8,861-48,653-97,471-39,192,203-431,114,233

More Examples

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