Q: What are the factor combinations of the number 168,043,079?

 A:
Positive:   1 x 16804307917 x 9884887
Negative: -1 x -168043079-17 x -9884887


How do I find the factor combinations of the number 168,043,079?

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 168,043,079, 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.

1 168,043,079
-1 -168,043,079

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 168,043,079.

Example:
1 x 168,043,079 = 168,043,079
and
-1 x -168,043,079 = 168,043,079
Notice both answers equal 168,043,079

With that explanation out of the way, let's continue. Next, we take the number 168,043,079 and divide it by 2:

168,043,079 ÷ 2 = 84,021,539.5

If the quotient is a whole number, then 2 and 84,021,539.5 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:

1 168,043,079
-1 -168,043,079

Now, we try dividing 168,043,079 by 3:

168,043,079 ÷ 3 = 56,014,359.6667

If the quotient is a whole number, then 3 and 56,014,359.6667 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:

1 168,043,079
-1 -168,043,079

Let's try dividing by 4:

168,043,079 ÷ 4 = 42,010,769.75

If the quotient is a whole number, then 4 and 42,010,769.75 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:

1 168,043,079
-1 168,043,079
Keep dividing by the next highest number until you cannot divide anymore.

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

1179,884,887168,043,079
-1-17-9,884,887-168,043,079

More Examples

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