Q: What are the factor combinations of the number 123,220,315?

 A:
Positive:   1 x 1232203155 x 2464406323 x 5357405115 x 1071481661 x 1864151621 x 760153305 x 372838105 x 15203
Negative: -1 x -123220315-5 x -24644063-23 x -5357405-115 x -1071481-661 x -186415-1621 x -76015-3305 x -37283-8105 x -15203


How do I find the factor combinations of the number 123,220,315?

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 123,220,315, 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.

1 123,220,315
-1 -123,220,315

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 123,220,315.

Example:
1 x 123,220,315 = 123,220,315
and
-1 x -123,220,315 = 123,220,315
Notice both answers equal 123,220,315

With that explanation out of the way, let's continue. Next, we take the number 123,220,315 and divide it by 2:

123,220,315 ÷ 2 = 61,610,157.5

If the quotient is a whole number, then 2 and 61,610,157.5 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:

1 123,220,315
-1 -123,220,315

Now, we try dividing 123,220,315 by 3:

123,220,315 ÷ 3 = 41,073,438.3333

If the quotient is a whole number, then 3 and 41,073,438.3333 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:

1 123,220,315
-1 -123,220,315

Let's try dividing by 4:

123,220,315 ÷ 4 = 30,805,078.75

If the quotient is a whole number, then 4 and 30,805,078.75 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:

1 123,220,315
-1 123,220,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15231156611,6213,3058,10515,20337,28376,015186,4151,071,4815,357,40524,644,063123,220,315
-1-5-23-115-661-1,621-3,305-8,105-15,203-37,283-76,015-186,415-1,071,481-5,357,405-24,644,063-123,220,315

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