Q: What are the factor combinations of the number 560,571,121?

 A:
Positive:   1 x 56057112111 x 50961011
Negative: -1 x -560571121-11 x -50961011


How do I find the factor combinations of the number 560,571,121?

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 560,571,121, 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.

1 560,571,121
-1 -560,571,121

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 560,571,121.

Example:
1 x 560,571,121 = 560,571,121
and
-1 x -560,571,121 = 560,571,121
Notice both answers equal 560,571,121

With that explanation out of the way, let's continue. Next, we take the number 560,571,121 and divide it by 2:

560,571,121 ÷ 2 = 280,285,560.5

If the quotient is a whole number, then 2 and 280,285,560.5 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:

1 560,571,121
-1 -560,571,121

Now, we try dividing 560,571,121 by 3:

560,571,121 ÷ 3 = 186,857,040.3333

If the quotient is a whole number, then 3 and 186,857,040.3333 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:

1 560,571,121
-1 -560,571,121

Let's try dividing by 4:

560,571,121 ÷ 4 = 140,142,780.25

If the quotient is a whole number, then 4 and 140,142,780.25 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:

1 560,571,121
-1 560,571,121
Keep dividing by the next highest number until you cannot divide anymore.

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

11150,961,011560,571,121
-1-11-50,961,011-560,571,121

More Examples

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