Q: What are the factor combinations of the number 123,177,845?

 A:
Positive:   1 x 1231778455 x 246355697 x 1759683535 x 35193671873 x 657651879 x 655559365 x 131539395 x 13111
Negative: -1 x -123177845-5 x -24635569-7 x -17596835-35 x -3519367-1873 x -65765-1879 x -65555-9365 x -13153-9395 x -13111


How do I find the factor combinations of the number 123,177,845?

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 123,177,845, 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.

1 123,177,845
-1 -123,177,845

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 123,177,845.

Example:
1 x 123,177,845 = 123,177,845
and
-1 x -123,177,845 = 123,177,845
Notice both answers equal 123,177,845

With that explanation out of the way, let's continue. Next, we take the number 123,177,845 and divide it by 2:

123,177,845 ÷ 2 = 61,588,922.5

If the quotient is a whole number, then 2 and 61,588,922.5 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:

1 123,177,845
-1 -123,177,845

Now, we try dividing 123,177,845 by 3:

123,177,845 ÷ 3 = 41,059,281.6667

If the quotient is a whole number, then 3 and 41,059,281.6667 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:

1 123,177,845
-1 -123,177,845

Let's try dividing by 4:

123,177,845 ÷ 4 = 30,794,461.25

If the quotient is a whole number, then 4 and 30,794,461.25 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:

1 123,177,845
-1 123,177,845
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,8731,8799,3659,39513,11113,15365,55565,7653,519,36717,596,83524,635,569123,177,845
-1-5-7-35-1,873-1,879-9,365-9,395-13,111-13,153-65,555-65,765-3,519,367-17,596,835-24,635,569-123,177,845

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