Q: What are the factor combinations of the number 588,385?

 A:
Positive:   1 x 5883855 x 1176777 x 8405535 x 16811
Negative: -1 x -588385-5 x -117677-7 x -84055-35 x -16811


How do I find the factor combinations of the number 588,385?

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 588,385, 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.

1 588,385
-1 -588,385

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 588,385.

Example:
1 x 588,385 = 588,385
and
-1 x -588,385 = 588,385
Notice both answers equal 588,385

With that explanation out of the way, let's continue. Next, we take the number 588,385 and divide it by 2:

588,385 ÷ 2 = 294,192.5

If the quotient is a whole number, then 2 and 294,192.5 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:

1 588,385
-1 -588,385

Now, we try dividing 588,385 by 3:

588,385 ÷ 3 = 196,128.3333

If the quotient is a whole number, then 3 and 196,128.3333 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:

1 588,385
-1 -588,385

Let's try dividing by 4:

588,385 ÷ 4 = 147,096.25

If the quotient is a whole number, then 4 and 147,096.25 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:

1 588,385
-1 588,385
Keep dividing by the next highest number until you cannot divide anymore.

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

1573516,81184,055117,677588,385
-1-5-7-35-16,811-84,055-117,677-588,385

More Examples

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