Q: What are the factor combinations of the number 123,001,103?

 A:
Positive:   1 x 12300110317 x 723535983 x 1481941179 x 687157487 x 2525691411 x 871733043 x 404218279 x 14857
Negative: -1 x -123001103-17 x -7235359-83 x -1481941-179 x -687157-487 x -252569-1411 x -87173-3043 x -40421-8279 x -14857


How do I find the factor combinations of the number 123,001,103?

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 123,001,103, 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.

1 123,001,103
-1 -123,001,103

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 123,001,103.

Example:
1 x 123,001,103 = 123,001,103
and
-1 x -123,001,103 = 123,001,103
Notice both answers equal 123,001,103

With that explanation out of the way, let's continue. Next, we take the number 123,001,103 and divide it by 2:

123,001,103 ÷ 2 = 61,500,551.5

If the quotient is a whole number, then 2 and 61,500,551.5 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:

1 123,001,103
-1 -123,001,103

Now, we try dividing 123,001,103 by 3:

123,001,103 ÷ 3 = 41,000,367.6667

If the quotient is a whole number, then 3 and 41,000,367.6667 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:

1 123,001,103
-1 -123,001,103

Let's try dividing by 4:

123,001,103 ÷ 4 = 30,750,275.75

If the quotient is a whole number, then 4 and 30,750,275.75 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:

1 123,001,103
-1 123,001,103
Keep dividing by the next highest number until you cannot divide anymore.

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

117831794871,4113,0438,27914,85740,42187,173252,569687,1571,481,9417,235,359123,001,103
-1-17-83-179-487-1,411-3,043-8,279-14,857-40,421-87,173-252,569-687,157-1,481,941-7,235,359-123,001,103

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