Q: What are the factor combinations of the number 80,602,457?

 A:
Positive:   1 x 8060245713 x 620018917 x 4741321221 x 364717
Negative: -1 x -80602457-13 x -6200189-17 x -4741321-221 x -364717


How do I find the factor combinations of the number 80,602,457?

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 80,602,457, 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 80,602,457
-1 -80,602,457

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 80,602,457.

Example:
1 x 80,602,457 = 80,602,457
and
-1 x -80,602,457 = 80,602,457
Notice both answers equal 80,602,457

With that explanation out of the way, let's continue. Next, we take the number 80,602,457 and divide it by 2:

80,602,457 ÷ 2 = 40,301,228.5

If the quotient is a whole number, then 2 and 40,301,228.5 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 80,602,457
-1 -80,602,457

Now, we try dividing 80,602,457 by 3:

80,602,457 ÷ 3 = 26,867,485.6667

If the quotient is a whole number, then 3 and 26,867,485.6667 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 80,602,457
-1 -80,602,457

Let's try dividing by 4:

80,602,457 ÷ 4 = 20,150,614.25

If the quotient is a whole number, then 4 and 20,150,614.25 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 80,602,457
-1 80,602,457
Keep dividing by the next highest number until you cannot divide anymore.

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

11317221364,7174,741,3216,200,18980,602,457
-1-13-17-221-364,717-4,741,321-6,200,189-80,602,457

More Examples

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