Q: What are the factor combinations of the number 431,322,235?

 A:
Positive:   1 x 4313222355 x 86264447
Negative: -1 x -431322235-5 x -86264447


How do I find the factor combinations of the number 431,322,235?

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 431,322,235, 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.

1 431,322,235
-1 -431,322,235

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 431,322,235.

Example:
1 x 431,322,235 = 431,322,235
and
-1 x -431,322,235 = 431,322,235
Notice both answers equal 431,322,235

With that explanation out of the way, let's continue. Next, we take the number 431,322,235 and divide it by 2:

431,322,235 ÷ 2 = 215,661,117.5

If the quotient is a whole number, then 2 and 215,661,117.5 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:

1 431,322,235
-1 -431,322,235

Now, we try dividing 431,322,235 by 3:

431,322,235 ÷ 3 = 143,774,078.3333

If the quotient is a whole number, then 3 and 143,774,078.3333 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:

1 431,322,235
-1 -431,322,235

Let's try dividing by 4:

431,322,235 ÷ 4 = 107,830,558.75

If the quotient is a whole number, then 4 and 107,830,558.75 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:

1 431,322,235
-1 431,322,235
Keep dividing by the next highest number until you cannot divide anymore.

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

1586,264,447431,322,235
-1-5-86,264,447-431,322,235

More Examples

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