Q: What are the factor combinations of the number 80,324,453?

 A:
Positive:   1 x 8032445311 x 730222341 x 1959133451 x 178103
Negative: -1 x -80324453-11 x -7302223-41 x -1959133-451 x -178103


How do I find the factor combinations of the number 80,324,453?

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 80,324,453, 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 80,324,453
-1 -80,324,453

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 80,324,453.

Example:
1 x 80,324,453 = 80,324,453
and
-1 x -80,324,453 = 80,324,453
Notice both answers equal 80,324,453

With that explanation out of the way, let's continue. Next, we take the number 80,324,453 and divide it by 2:

80,324,453 ÷ 2 = 40,162,226.5

If the quotient is a whole number, then 2 and 40,162,226.5 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 80,324,453
-1 -80,324,453

Now, we try dividing 80,324,453 by 3:

80,324,453 ÷ 3 = 26,774,817.6667

If the quotient is a whole number, then 3 and 26,774,817.6667 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 80,324,453
-1 -80,324,453

Let's try dividing by 4:

80,324,453 ÷ 4 = 20,081,113.25

If the quotient is a whole number, then 4 and 20,081,113.25 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 80,324,453
-1 80,324,453
Keep dividing by the next highest number until you cannot divide anymore.

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

11141451178,1031,959,1337,302,22380,324,453
-1-11-41-451-178,103-1,959,133-7,302,223-80,324,453

More Examples

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