Q: What are the factor combinations of the number 563,615?

 A:
Positive:   1 x 5636155 x 11272313 x 4335523 x 2450529 x 1943565 x 8671115 x 4901145 x 3887169 x 3335299 x 1885377 x 1495667 x 845
Negative: -1 x -563615-5 x -112723-13 x -43355-23 x -24505-29 x -19435-65 x -8671-115 x -4901-145 x -3887-169 x -3335-299 x -1885-377 x -1495-667 x -845


How do I find the factor combinations of the number 563,615?

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 563,615, 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.

1 563,615
-1 -563,615

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 563,615.

Example:
1 x 563,615 = 563,615
and
-1 x -563,615 = 563,615
Notice both answers equal 563,615

With that explanation out of the way, let's continue. Next, we take the number 563,615 and divide it by 2:

563,615 ÷ 2 = 281,807.5

If the quotient is a whole number, then 2 and 281,807.5 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:

1 563,615
-1 -563,615

Now, we try dividing 563,615 by 3:

563,615 ÷ 3 = 187,871.6667

If the quotient is a whole number, then 3 and 187,871.6667 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:

1 563,615
-1 -563,615

Let's try dividing by 4:

563,615 ÷ 4 = 140,903.75

If the quotient is a whole number, then 4 and 140,903.75 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:

1 563,615
-1 563,615
Keep dividing by the next highest number until you cannot divide anymore.

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

15132329651151451692993776678451,4951,8853,3353,8874,9018,67119,43524,50543,355112,723563,615
-1-5-13-23-29-65-115-145-169-299-377-667-845-1,495-1,885-3,335-3,887-4,901-8,671-19,435-24,505-43,355-112,723-563,615

More Examples

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