Q: What are the factor combinations of the number 655,615?

 A:
Positive:   1 x 6556155 x 13112323 x 28505115 x 5701
Negative: -1 x -655615-5 x -131123-23 x -28505-115 x -5701


How do I find the factor combinations of the number 655,615?

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 655,615, 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.

1 655,615
-1 -655,615

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 655,615.

Example:
1 x 655,615 = 655,615
and
-1 x -655,615 = 655,615
Notice both answers equal 655,615

With that explanation out of the way, let's continue. Next, we take the number 655,615 and divide it by 2:

655,615 ÷ 2 = 327,807.5

If the quotient is a whole number, then 2 and 327,807.5 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:

1 655,615
-1 -655,615

Now, we try dividing 655,615 by 3:

655,615 ÷ 3 = 218,538.3333

If the quotient is a whole number, then 3 and 218,538.3333 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:

1 655,615
-1 -655,615

Let's try dividing by 4:

655,615 ÷ 4 = 163,903.75

If the quotient is a whole number, then 4 and 163,903.75 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:

1 655,615
-1 655,615
Keep dividing by the next highest number until you cannot divide anymore.

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

15231155,70128,505131,123655,615
-1-5-23-115-5,701-28,505-131,123-655,615

More Examples

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