Q: What are the factor combinations of the number 560,455?

 A:
Positive:   1 x 5604555 x 1120917 x 8006535 x 1601367 x 8365239 x 2345335 x 1673469 x 1195
Negative: -1 x -560455-5 x -112091-7 x -80065-35 x -16013-67 x -8365-239 x -2345-335 x -1673-469 x -1195


How do I find the factor combinations of the number 560,455?

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 560,455, 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.

1 560,455
-1 -560,455

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 560,455.

Example:
1 x 560,455 = 560,455
and
-1 x -560,455 = 560,455
Notice both answers equal 560,455

With that explanation out of the way, let's continue. Next, we take the number 560,455 and divide it by 2:

560,455 ÷ 2 = 280,227.5

If the quotient is a whole number, then 2 and 280,227.5 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:

1 560,455
-1 -560,455

Now, we try dividing 560,455 by 3:

560,455 ÷ 3 = 186,818.3333

If the quotient is a whole number, then 3 and 186,818.3333 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:

1 560,455
-1 -560,455

Let's try dividing by 4:

560,455 ÷ 4 = 140,113.75

If the quotient is a whole number, then 4 and 140,113.75 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:

1 560,455
-1 560,455
Keep dividing by the next highest number until you cannot divide anymore.

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

15735672393354691,1951,6732,3458,36516,01380,065112,091560,455
-1-5-7-35-67-239-335-469-1,195-1,673-2,345-8,365-16,013-80,065-112,091-560,455

More Examples

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