Q: What are the factor combinations of the number 317,540,165?

 A:
Positive:   1 x 3175401655 x 6350803343 x 7384655151 x 2102915215 x 1476931755 x 4205836493 x 489059781 x 32465
Negative: -1 x -317540165-5 x -63508033-43 x -7384655-151 x -2102915-215 x -1476931-755 x -420583-6493 x -48905-9781 x -32465


How do I find the factor combinations of the number 317,540,165?

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 317,540,165, 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.

1 317,540,165
-1 -317,540,165

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 317,540,165.

Example:
1 x 317,540,165 = 317,540,165
and
-1 x -317,540,165 = 317,540,165
Notice both answers equal 317,540,165

With that explanation out of the way, let's continue. Next, we take the number 317,540,165 and divide it by 2:

317,540,165 ÷ 2 = 158,770,082.5

If the quotient is a whole number, then 2 and 158,770,082.5 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:

1 317,540,165
-1 -317,540,165

Now, we try dividing 317,540,165 by 3:

317,540,165 ÷ 3 = 105,846,721.6667

If the quotient is a whole number, then 3 and 105,846,721.6667 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:

1 317,540,165
-1 -317,540,165

Let's try dividing by 4:

317,540,165 ÷ 4 = 79,385,041.25

If the quotient is a whole number, then 4 and 79,385,041.25 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:

1 317,540,165
-1 317,540,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15431512157556,4939,78132,46548,905420,5831,476,9312,102,9157,384,65563,508,033317,540,165
-1-5-43-151-215-755-6,493-9,781-32,465-48,905-420,583-1,476,931-2,102,915-7,384,655-63,508,033-317,540,165

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