Q: What are the factor combinations of the number 80,384,183?

 A:
Positive:   1 x 8038418311 x 7307653101 x 7958831111 x 72353
Negative: -1 x -80384183-11 x -7307653-101 x -795883-1111 x -72353


How do I find the factor combinations of the number 80,384,183?

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 80,384,183, 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 80,384,183
-1 -80,384,183

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 80,384,183.

Example:
1 x 80,384,183 = 80,384,183
and
-1 x -80,384,183 = 80,384,183
Notice both answers equal 80,384,183

With that explanation out of the way, let's continue. Next, we take the number 80,384,183 and divide it by 2:

80,384,183 ÷ 2 = 40,192,091.5

If the quotient is a whole number, then 2 and 40,192,091.5 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 80,384,183
-1 -80,384,183

Now, we try dividing 80,384,183 by 3:

80,384,183 ÷ 3 = 26,794,727.6667

If the quotient is a whole number, then 3 and 26,794,727.6667 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 80,384,183
-1 -80,384,183

Let's try dividing by 4:

80,384,183 ÷ 4 = 20,096,045.75

If the quotient is a whole number, then 4 and 20,096,045.75 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 80,384,183
-1 80,384,183
Keep dividing by the next highest number until you cannot divide anymore.

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

1111011,11172,353795,8837,307,65380,384,183
-1-11-101-1,111-72,353-795,883-7,307,653-80,384,183

More Examples

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