Q: What are the factor combinations of the number 264,385?

 A:
Positive:   1 x 2643855 x 5287711 x 2403519 x 1391523 x 1149555 x 480795 x 2783115 x 2299121 x 2185209 x 1265253 x 1045437 x 605
Negative: -1 x -264385-5 x -52877-11 x -24035-19 x -13915-23 x -11495-55 x -4807-95 x -2783-115 x -2299-121 x -2185-209 x -1265-253 x -1045-437 x -605


How do I find the factor combinations of the number 264,385?

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 264,385, 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.

1 264,385
-1 -264,385

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 264,385.

Example:
1 x 264,385 = 264,385
and
-1 x -264,385 = 264,385
Notice both answers equal 264,385

With that explanation out of the way, let's continue. Next, we take the number 264,385 and divide it by 2:

264,385 ÷ 2 = 132,192.5

If the quotient is a whole number, then 2 and 132,192.5 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:

1 264,385
-1 -264,385

Now, we try dividing 264,385 by 3:

264,385 ÷ 3 = 88,128.3333

If the quotient is a whole number, then 3 and 88,128.3333 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:

1 264,385
-1 -264,385

Let's try dividing by 4:

264,385 ÷ 4 = 66,096.25

If the quotient is a whole number, then 4 and 66,096.25 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:

1 264,385
-1 264,385
Keep dividing by the next highest number until you cannot divide anymore.

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

1511192355951151212092534376051,0451,2652,1852,2992,7834,80711,49513,91524,03552,877264,385
-1-5-11-19-23-55-95-115-121-209-253-437-605-1,045-1,265-2,185-2,299-2,783-4,807-11,495-13,915-24,035-52,877-264,385

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