Q: What are the factor combinations of the number 123,052,171?

 A:
Positive:   1 x 12305217111 x 1118656117 x 7238363109 x 1128919187 x 6580331199 x 1026291853 x 664076037 x 20383
Negative: -1 x -123052171-11 x -11186561-17 x -7238363-109 x -1128919-187 x -658033-1199 x -102629-1853 x -66407-6037 x -20383


How do I find the factor combinations of the number 123,052,171?

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 123,052,171, 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.

1 123,052,171
-1 -123,052,171

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 123,052,171.

Example:
1 x 123,052,171 = 123,052,171
and
-1 x -123,052,171 = 123,052,171
Notice both answers equal 123,052,171

With that explanation out of the way, let's continue. Next, we take the number 123,052,171 and divide it by 2:

123,052,171 ÷ 2 = 61,526,085.5

If the quotient is a whole number, then 2 and 61,526,085.5 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:

1 123,052,171
-1 -123,052,171

Now, we try dividing 123,052,171 by 3:

123,052,171 ÷ 3 = 41,017,390.3333

If the quotient is a whole number, then 3 and 41,017,390.3333 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:

1 123,052,171
-1 -123,052,171

Let's try dividing by 4:

123,052,171 ÷ 4 = 30,763,042.75

If the quotient is a whole number, then 4 and 30,763,042.75 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:

1 123,052,171
-1 123,052,171
Keep dividing by the next highest number until you cannot divide anymore.

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

111171091871,1991,8536,03720,38366,407102,629658,0331,128,9197,238,36311,186,561123,052,171
-1-11-17-109-187-1,199-1,853-6,037-20,383-66,407-102,629-658,033-1,128,919-7,238,363-11,186,561-123,052,171

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