Q: What are the factor combinations of the number 120,051,329?

 A:
Positive:   1 x 12005132919 x 631849123 x 521962329 x 4139701437 x 274717551 x 217879667 x 1799879473 x 12673
Negative: -1 x -120051329-19 x -6318491-23 x -5219623-29 x -4139701-437 x -274717-551 x -217879-667 x -179987-9473 x -12673


How do I find the factor combinations of the number 120,051,329?

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 120,051,329, 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.

1 120,051,329
-1 -120,051,329

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 120,051,329.

Example:
1 x 120,051,329 = 120,051,329
and
-1 x -120,051,329 = 120,051,329
Notice both answers equal 120,051,329

With that explanation out of the way, let's continue. Next, we take the number 120,051,329 and divide it by 2:

120,051,329 ÷ 2 = 60,025,664.5

If the quotient is a whole number, then 2 and 60,025,664.5 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:

1 120,051,329
-1 -120,051,329

Now, we try dividing 120,051,329 by 3:

120,051,329 ÷ 3 = 40,017,109.6667

If the quotient is a whole number, then 3 and 40,017,109.6667 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:

1 120,051,329
-1 -120,051,329

Let's try dividing by 4:

120,051,329 ÷ 4 = 30,012,832.25

If the quotient is a whole number, then 4 and 30,012,832.25 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:

1 120,051,329
-1 120,051,329
Keep dividing by the next highest number until you cannot divide anymore.

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

11923294375516679,47312,673179,987217,879274,7174,139,7015,219,6236,318,491120,051,329
-1-19-23-29-437-551-667-9,473-12,673-179,987-217,879-274,717-4,139,701-5,219,623-6,318,491-120,051,329

More Examples

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