Q: What are the factor combinations of the number 486,857?

 A:
Positive:   1 x 4868577 x 69551157 x 3101443 x 1099
Negative: -1 x -486857-7 x -69551-157 x -3101-443 x -1099


How do I find the factor combinations of the number 486,857?

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 486,857, 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.

1 486,857
-1 -486,857

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 486,857.

Example:
1 x 486,857 = 486,857
and
-1 x -486,857 = 486,857
Notice both answers equal 486,857

With that explanation out of the way, let's continue. Next, we take the number 486,857 and divide it by 2:

486,857 ÷ 2 = 243,428.5

If the quotient is a whole number, then 2 and 243,428.5 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:

1 486,857
-1 -486,857

Now, we try dividing 486,857 by 3:

486,857 ÷ 3 = 162,285.6667

If the quotient is a whole number, then 3 and 162,285.6667 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:

1 486,857
-1 -486,857

Let's try dividing by 4:

486,857 ÷ 4 = 121,714.25

If the quotient is a whole number, then 4 and 121,714.25 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:

1 486,857
-1 486,857
Keep dividing by the next highest number until you cannot divide anymore.

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

171574431,0993,10169,551486,857
-1-7-157-443-1,099-3,101-69,551-486,857

More Examples

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