Q: What are the factor combinations of the number 322,104,043?

 A:
Positive:   1 x 32210404331 x 10390453659 x 48877715767 x 20429
Negative: -1 x -322104043-31 x -10390453-659 x -488777-15767 x -20429


How do I find the factor combinations of the number 322,104,043?

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 322,104,043, 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.

1 322,104,043
-1 -322,104,043

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 322,104,043.

Example:
1 x 322,104,043 = 322,104,043
and
-1 x -322,104,043 = 322,104,043
Notice both answers equal 322,104,043

With that explanation out of the way, let's continue. Next, we take the number 322,104,043 and divide it by 2:

322,104,043 ÷ 2 = 161,052,021.5

If the quotient is a whole number, then 2 and 161,052,021.5 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:

1 322,104,043
-1 -322,104,043

Now, we try dividing 322,104,043 by 3:

322,104,043 ÷ 3 = 107,368,014.3333

If the quotient is a whole number, then 3 and 107,368,014.3333 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:

1 322,104,043
-1 -322,104,043

Let's try dividing by 4:

322,104,043 ÷ 4 = 80,526,010.75

If the quotient is a whole number, then 4 and 80,526,010.75 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:

1 322,104,043
-1 322,104,043
Keep dividing by the next highest number until you cannot divide anymore.

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

13165915,76720,429488,77710,390,453322,104,043
-1-31-659-15,767-20,429-488,777-10,390,453-322,104,043

More Examples

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