Q: What are the factor combinations of the number 120,034,343?

 A:
Positive:   1 x 12003434311 x 1091221313 x 923341119 x 6317597143 x 839401209 x 574327247 x 4859692717 x 44179
Negative: -1 x -120034343-11 x -10912213-13 x -9233411-19 x -6317597-143 x -839401-209 x -574327-247 x -485969-2717 x -44179


How do I find the factor combinations of the number 120,034,343?

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 120,034,343, 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.

1 120,034,343
-1 -120,034,343

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 120,034,343.

Example:
1 x 120,034,343 = 120,034,343
and
-1 x -120,034,343 = 120,034,343
Notice both answers equal 120,034,343

With that explanation out of the way, let's continue. Next, we take the number 120,034,343 and divide it by 2:

120,034,343 ÷ 2 = 60,017,171.5

If the quotient is a whole number, then 2 and 60,017,171.5 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:

1 120,034,343
-1 -120,034,343

Now, we try dividing 120,034,343 by 3:

120,034,343 ÷ 3 = 40,011,447.6667

If the quotient is a whole number, then 3 and 40,011,447.6667 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:

1 120,034,343
-1 -120,034,343

Let's try dividing by 4:

120,034,343 ÷ 4 = 30,008,585.75

If the quotient is a whole number, then 4 and 30,008,585.75 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:

1 120,034,343
-1 120,034,343
Keep dividing by the next highest number until you cannot divide anymore.

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

11113191432092472,71744,179485,969574,327839,4016,317,5979,233,41110,912,213120,034,343
-1-11-13-19-143-209-247-2,717-44,179-485,969-574,327-839,401-6,317,597-9,233,411-10,912,213-120,034,343

More Examples

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