Q: What are the factor combinations of the number 316,611,223?

 A:
Positive:   1 x 31661122347 x 673640971 x 445931379 x 40077371201 x 2636233337 x 948793713 x 852715609 x 56447
Negative: -1 x -316611223-47 x -6736409-71 x -4459313-79 x -4007737-1201 x -263623-3337 x -94879-3713 x -85271-5609 x -56447


How do I find the factor combinations of the number 316,611,223?

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 316,611,223, 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.

1 316,611,223
-1 -316,611,223

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 316,611,223.

Example:
1 x 316,611,223 = 316,611,223
and
-1 x -316,611,223 = 316,611,223
Notice both answers equal 316,611,223

With that explanation out of the way, let's continue. Next, we take the number 316,611,223 and divide it by 2:

316,611,223 ÷ 2 = 158,305,611.5

If the quotient is a whole number, then 2 and 158,305,611.5 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:

1 316,611,223
-1 -316,611,223

Now, we try dividing 316,611,223 by 3:

316,611,223 ÷ 3 = 105,537,074.3333

If the quotient is a whole number, then 3 and 105,537,074.3333 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:

1 316,611,223
-1 -316,611,223

Let's try dividing by 4:

316,611,223 ÷ 4 = 79,152,805.75

If the quotient is a whole number, then 4 and 79,152,805.75 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:

1 316,611,223
-1 316,611,223
Keep dividing by the next highest number until you cannot divide anymore.

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

14771791,2013,3373,7135,60956,44785,27194,879263,6234,007,7374,459,3136,736,409316,611,223
-1-47-71-79-1,201-3,337-3,713-5,609-56,447-85,271-94,879-263,623-4,007,737-4,459,313-6,736,409-316,611,223

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