Q: What are the factor combinations of the number 163,047,683?

 A:
Positive:   1 x 16304768319 x 8581457
Negative: -1 x -163047683-19 x -8581457


How do I find the factor combinations of the number 163,047,683?

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 163,047,683, 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.

1 163,047,683
-1 -163,047,683

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 163,047,683.

Example:
1 x 163,047,683 = 163,047,683
and
-1 x -163,047,683 = 163,047,683
Notice both answers equal 163,047,683

With that explanation out of the way, let's continue. Next, we take the number 163,047,683 and divide it by 2:

163,047,683 ÷ 2 = 81,523,841.5

If the quotient is a whole number, then 2 and 81,523,841.5 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:

1 163,047,683
-1 -163,047,683

Now, we try dividing 163,047,683 by 3:

163,047,683 ÷ 3 = 54,349,227.6667

If the quotient is a whole number, then 3 and 54,349,227.6667 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:

1 163,047,683
-1 -163,047,683

Let's try dividing by 4:

163,047,683 ÷ 4 = 40,761,920.75

If the quotient is a whole number, then 4 and 40,761,920.75 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:

1 163,047,683
-1 163,047,683
Keep dividing by the next highest number until you cannot divide anymore.

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

1198,581,457163,047,683
-1-19-8,581,457-163,047,683

More Examples

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