Q: What are the factor combinations of the number 123,004,145?

 A:
Positive:   1 x 1230041455 x 2460082911 x 1118219555 x 2236439103 x 1194215515 x 2388431133 x 1085655665 x 21713
Negative: -1 x -123004145-5 x -24600829-11 x -11182195-55 x -2236439-103 x -1194215-515 x -238843-1133 x -108565-5665 x -21713


How do I find the factor combinations of the number 123,004,145?

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 123,004,145, 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.

1 123,004,145
-1 -123,004,145

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 123,004,145.

Example:
1 x 123,004,145 = 123,004,145
and
-1 x -123,004,145 = 123,004,145
Notice both answers equal 123,004,145

With that explanation out of the way, let's continue. Next, we take the number 123,004,145 and divide it by 2:

123,004,145 ÷ 2 = 61,502,072.5

If the quotient is a whole number, then 2 and 61,502,072.5 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:

1 123,004,145
-1 -123,004,145

Now, we try dividing 123,004,145 by 3:

123,004,145 ÷ 3 = 41,001,381.6667

If the quotient is a whole number, then 3 and 41,001,381.6667 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:

1 123,004,145
-1 -123,004,145

Let's try dividing by 4:

123,004,145 ÷ 4 = 30,751,036.25

If the quotient is a whole number, then 4 and 30,751,036.25 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:

1 123,004,145
-1 123,004,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551035151,1335,66521,713108,565238,8431,194,2152,236,43911,182,19524,600,829123,004,145
-1-5-11-55-103-515-1,133-5,665-21,713-108,565-238,843-1,194,215-2,236,439-11,182,195-24,600,829-123,004,145

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