Q: What are the factor combinations of the number 239,821,981?

 A:
Positive:   1 x 2398219817 x 3426028389 x 2694629349 x 687169623 x 3849471103 x 2174272443 x 981677721 x 31061
Negative: -1 x -239821981-7 x -34260283-89 x -2694629-349 x -687169-623 x -384947-1103 x -217427-2443 x -98167-7721 x -31061


How do I find the factor combinations of the number 239,821,981?

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 239,821,981, 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.

1 239,821,981
-1 -239,821,981

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 239,821,981.

Example:
1 x 239,821,981 = 239,821,981
and
-1 x -239,821,981 = 239,821,981
Notice both answers equal 239,821,981

With that explanation out of the way, let's continue. Next, we take the number 239,821,981 and divide it by 2:

239,821,981 ÷ 2 = 119,910,990.5

If the quotient is a whole number, then 2 and 119,910,990.5 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:

1 239,821,981
-1 -239,821,981

Now, we try dividing 239,821,981 by 3:

239,821,981 ÷ 3 = 79,940,660.3333

If the quotient is a whole number, then 3 and 79,940,660.3333 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:

1 239,821,981
-1 -239,821,981

Let's try dividing by 4:

239,821,981 ÷ 4 = 59,955,495.25

If the quotient is a whole number, then 4 and 59,955,495.25 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:

1 239,821,981
-1 239,821,981
Keep dividing by the next highest number until you cannot divide anymore.

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

17893496231,1032,4437,72131,06198,167217,427384,947687,1692,694,62934,260,283239,821,981
-1-7-89-349-623-1,103-2,443-7,721-31,061-98,167-217,427-384,947-687,169-2,694,629-34,260,283-239,821,981

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