Q: What are the factor combinations of the number 122,031,655?

 A:
Positive:   1 x 1220316555 x 2440633131 x 3936505155 x 787301419 x 2912451879 x 649452095 x 582499395 x 12989
Negative: -1 x -122031655-5 x -24406331-31 x -3936505-155 x -787301-419 x -291245-1879 x -64945-2095 x -58249-9395 x -12989


How do I find the factor combinations of the number 122,031,655?

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 122,031,655, 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.

1 122,031,655
-1 -122,031,655

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 122,031,655.

Example:
1 x 122,031,655 = 122,031,655
and
-1 x -122,031,655 = 122,031,655
Notice both answers equal 122,031,655

With that explanation out of the way, let's continue. Next, we take the number 122,031,655 and divide it by 2:

122,031,655 ÷ 2 = 61,015,827.5

If the quotient is a whole number, then 2 and 61,015,827.5 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:

1 122,031,655
-1 -122,031,655

Now, we try dividing 122,031,655 by 3:

122,031,655 ÷ 3 = 40,677,218.3333

If the quotient is a whole number, then 3 and 40,677,218.3333 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:

1 122,031,655
-1 -122,031,655

Let's try dividing by 4:

122,031,655 ÷ 4 = 30,507,913.75

If the quotient is a whole number, then 4 and 30,507,913.75 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:

1 122,031,655
-1 122,031,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15311554191,8792,0959,39512,98958,24964,945291,245787,3013,936,50524,406,331122,031,655
-1-5-31-155-419-1,879-2,095-9,395-12,989-58,249-64,945-291,245-787,301-3,936,505-24,406,331-122,031,655

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