Q: What are the factor combinations of the number 322,160,143?

 A:
Positive:   1 x 32216014319 x 169557972063 x 1561618219 x 39197
Negative: -1 x -322160143-19 x -16955797-2063 x -156161-8219 x -39197


How do I find the factor combinations of the number 322,160,143?

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 322,160,143, 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.

1 322,160,143
-1 -322,160,143

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 322,160,143.

Example:
1 x 322,160,143 = 322,160,143
and
-1 x -322,160,143 = 322,160,143
Notice both answers equal 322,160,143

With that explanation out of the way, let's continue. Next, we take the number 322,160,143 and divide it by 2:

322,160,143 ÷ 2 = 161,080,071.5

If the quotient is a whole number, then 2 and 161,080,071.5 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:

1 322,160,143
-1 -322,160,143

Now, we try dividing 322,160,143 by 3:

322,160,143 ÷ 3 = 107,386,714.3333

If the quotient is a whole number, then 3 and 107,386,714.3333 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:

1 322,160,143
-1 -322,160,143

Let's try dividing by 4:

322,160,143 ÷ 4 = 80,540,035.75

If the quotient is a whole number, then 4 and 80,540,035.75 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:

1 322,160,143
-1 322,160,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1192,0638,21939,197156,16116,955,797322,160,143
-1-19-2,063-8,219-39,197-156,161-16,955,797-322,160,143

More Examples

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