Q: What are the factor combinations of the number 615,815?

 A:
Positive:   1 x 6158155 x 12316329 x 2123531 x 19865137 x 4495145 x 4247155 x 3973685 x 899
Negative: -1 x -615815-5 x -123163-29 x -21235-31 x -19865-137 x -4495-145 x -4247-155 x -3973-685 x -899


How do I find the factor combinations of the number 615,815?

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 615,815, 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.

1 615,815
-1 -615,815

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 615,815.

Example:
1 x 615,815 = 615,815
and
-1 x -615,815 = 615,815
Notice both answers equal 615,815

With that explanation out of the way, let's continue. Next, we take the number 615,815 and divide it by 2:

615,815 ÷ 2 = 307,907.5

If the quotient is a whole number, then 2 and 307,907.5 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:

1 615,815
-1 -615,815

Now, we try dividing 615,815 by 3:

615,815 ÷ 3 = 205,271.6667

If the quotient is a whole number, then 3 and 205,271.6667 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:

1 615,815
-1 -615,815

Let's try dividing by 4:

615,815 ÷ 4 = 153,953.75

If the quotient is a whole number, then 4 and 153,953.75 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:

1 615,815
-1 615,815
Keep dividing by the next highest number until you cannot divide anymore.

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

1529311371451556858993,9734,2474,49519,86521,235123,163615,815
-1-5-29-31-137-145-155-685-899-3,973-4,247-4,495-19,865-21,235-123,163-615,815

More Examples

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