Q: What are the factor combinations of the number 43,314,331?

 A:
Positive:   1 x 4331433161 x 71007171 x 61006173 x 593347137 x 3161634331 x 100014453 x 97275183 x 8357
Negative: -1 x -43314331-61 x -710071-71 x -610061-73 x -593347-137 x -316163-4331 x -10001-4453 x -9727-5183 x -8357


How do I find the factor combinations of the number 43,314,331?

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 43,314,331, 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 43,314,331
-1 -43,314,331

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 43,314,331.

Example:
1 x 43,314,331 = 43,314,331
and
-1 x -43,314,331 = 43,314,331
Notice both answers equal 43,314,331

With that explanation out of the way, let's continue. Next, we take the number 43,314,331 and divide it by 2:

43,314,331 ÷ 2 = 21,657,165.5

If the quotient is a whole number, then 2 and 21,657,165.5 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 43,314,331
-1 -43,314,331

Now, we try dividing 43,314,331 by 3:

43,314,331 ÷ 3 = 14,438,110.3333

If the quotient is a whole number, then 3 and 14,438,110.3333 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 43,314,331
-1 -43,314,331

Let's try dividing by 4:

43,314,331 ÷ 4 = 10,828,582.75

If the quotient is a whole number, then 4 and 10,828,582.75 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 43,314,331
-1 43,314,331
Keep dividing by the next highest number until you cannot divide anymore.

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

16171731374,3314,4535,1838,3579,72710,001316,163593,347610,061710,07143,314,331
-1-61-71-73-137-4,331-4,453-5,183-8,357-9,727-10,001-316,163-593,347-610,061-710,071-43,314,331

More Examples

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