Q: What are the factor combinations of the number 560,663,315?

 A:
Positive:   1 x 5606633155 x 11213266317 x 3298019541 x 1367471585 x 6596039205 x 2734943697 x 8043953485 x 160879
Negative: -1 x -560663315-5 x -112132663-17 x -32980195-41 x -13674715-85 x -6596039-205 x -2734943-697 x -804395-3485 x -160879


How do I find the factor combinations of the number 560,663,315?

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 560,663,315, 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.

1 560,663,315
-1 -560,663,315

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 560,663,315.

Example:
1 x 560,663,315 = 560,663,315
and
-1 x -560,663,315 = 560,663,315
Notice both answers equal 560,663,315

With that explanation out of the way, let's continue. Next, we take the number 560,663,315 and divide it by 2:

560,663,315 ÷ 2 = 280,331,657.5

If the quotient is a whole number, then 2 and 280,331,657.5 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:

1 560,663,315
-1 -560,663,315

Now, we try dividing 560,663,315 by 3:

560,663,315 ÷ 3 = 186,887,771.6667

If the quotient is a whole number, then 3 and 186,887,771.6667 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:

1 560,663,315
-1 -560,663,315

Let's try dividing by 4:

560,663,315 ÷ 4 = 140,165,828.75

If the quotient is a whole number, then 4 and 140,165,828.75 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:

1 560,663,315
-1 560,663,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151741852056973,485160,879804,3952,734,9436,596,03913,674,71532,980,195112,132,663560,663,315
-1-5-17-41-85-205-697-3,485-160,879-804,395-2,734,943-6,596,039-13,674,715-32,980,195-112,132,663-560,663,315

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