Q: What are the factor combinations of the number 32,808,143?

 A:
Positive:   1 x 3280814323 x 1426441229 x 1432675267 x 6229
Negative: -1 x -32808143-23 x -1426441-229 x -143267-5267 x -6229


How do I find the factor combinations of the number 32,808,143?

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 32,808,143, 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 32,808,143
-1 -32,808,143

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 32,808,143.

Example:
1 x 32,808,143 = 32,808,143
and
-1 x -32,808,143 = 32,808,143
Notice both answers equal 32,808,143

With that explanation out of the way, let's continue. Next, we take the number 32,808,143 and divide it by 2:

32,808,143 ÷ 2 = 16,404,071.5

If the quotient is a whole number, then 2 and 16,404,071.5 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 32,808,143
-1 -32,808,143

Now, we try dividing 32,808,143 by 3:

32,808,143 ÷ 3 = 10,936,047.6667

If the quotient is a whole number, then 3 and 10,936,047.6667 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 32,808,143
-1 -32,808,143

Let's try dividing by 4:

32,808,143 ÷ 4 = 8,202,035.75

If the quotient is a whole number, then 4 and 8,202,035.75 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 32,808,143
-1 32,808,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1232295,2676,229143,2671,426,44132,808,143
-1-23-229-5,267-6,229-143,267-1,426,441-32,808,143

More Examples

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