Q: What are the factor combinations of the number 568,675?

 A:
Positive:   1 x 5686755 x 11373523 x 2472525 x 2274743 x 13225115 x 4945215 x 2645529 x 1075575 x 989
Negative: -1 x -568675-5 x -113735-23 x -24725-25 x -22747-43 x -13225-115 x -4945-215 x -2645-529 x -1075-575 x -989


How do I find the factor combinations of the number 568,675?

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 568,675, 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.

1 568,675
-1 -568,675

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 568,675.

Example:
1 x 568,675 = 568,675
and
-1 x -568,675 = 568,675
Notice both answers equal 568,675

With that explanation out of the way, let's continue. Next, we take the number 568,675 and divide it by 2:

568,675 ÷ 2 = 284,337.5

If the quotient is a whole number, then 2 and 284,337.5 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:

1 568,675
-1 -568,675

Now, we try dividing 568,675 by 3:

568,675 ÷ 3 = 189,558.3333

If the quotient is a whole number, then 3 and 189,558.3333 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:

1 568,675
-1 -568,675

Let's try dividing by 4:

568,675 ÷ 4 = 142,168.75

If the quotient is a whole number, then 4 and 142,168.75 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:

1 568,675
-1 568,675
Keep dividing by the next highest number until you cannot divide anymore.

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

152325431152155295759891,0752,6454,94513,22522,74724,725113,735568,675
-1-5-23-25-43-115-215-529-575-989-1,075-2,645-4,945-13,225-22,747-24,725-113,735-568,675

More Examples

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