Q: What are the factor combinations of the number 322,331,407?

 A:
Positive:   1 x 32233140717 x 1896067123 x 14014409211 x 1527637391 x 8243773587 x 898613907 x 825014853 x 66419
Negative: -1 x -322331407-17 x -18960671-23 x -14014409-211 x -1527637-391 x -824377-3587 x -89861-3907 x -82501-4853 x -66419


How do I find the factor combinations of the number 322,331,407?

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 322,331,407, 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.

1 322,331,407
-1 -322,331,407

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 322,331,407.

Example:
1 x 322,331,407 = 322,331,407
and
-1 x -322,331,407 = 322,331,407
Notice both answers equal 322,331,407

With that explanation out of the way, let's continue. Next, we take the number 322,331,407 and divide it by 2:

322,331,407 ÷ 2 = 161,165,703.5

If the quotient is a whole number, then 2 and 161,165,703.5 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:

1 322,331,407
-1 -322,331,407

Now, we try dividing 322,331,407 by 3:

322,331,407 ÷ 3 = 107,443,802.3333

If the quotient is a whole number, then 3 and 107,443,802.3333 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:

1 322,331,407
-1 -322,331,407

Let's try dividing by 4:

322,331,407 ÷ 4 = 80,582,851.75

If the quotient is a whole number, then 4 and 80,582,851.75 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:

1 322,331,407
-1 322,331,407
Keep dividing by the next highest number until you cannot divide anymore.

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

117232113913,5873,9074,85366,41982,50189,861824,3771,527,63714,014,40918,960,671322,331,407
-1-17-23-211-391-3,587-3,907-4,853-66,419-82,501-89,861-824,377-1,527,637-14,014,409-18,960,671-322,331,407

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