Q: What are the factor combinations of the number 123,771,655?

 A:
Positive:   1 x 1237716555 x 247543317 x 1768166535 x 3536333307 x 4031651535 x 806332149 x 5759510745 x 11519
Negative: -1 x -123771655-5 x -24754331-7 x -17681665-35 x -3536333-307 x -403165-1535 x -80633-2149 x -57595-10745 x -11519


How do I find the factor combinations of the number 123,771,655?

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 123,771,655, 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.

1 123,771,655
-1 -123,771,655

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 123,771,655.

Example:
1 x 123,771,655 = 123,771,655
and
-1 x -123,771,655 = 123,771,655
Notice both answers equal 123,771,655

With that explanation out of the way, let's continue. Next, we take the number 123,771,655 and divide it by 2:

123,771,655 ÷ 2 = 61,885,827.5

If the quotient is a whole number, then 2 and 61,885,827.5 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:

1 123,771,655
-1 -123,771,655

Now, we try dividing 123,771,655 by 3:

123,771,655 ÷ 3 = 41,257,218.3333

If the quotient is a whole number, then 3 and 41,257,218.3333 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:

1 123,771,655
-1 -123,771,655

Let's try dividing by 4:

123,771,655 ÷ 4 = 30,942,913.75

If the quotient is a whole number, then 4 and 30,942,913.75 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:

1 123,771,655
-1 123,771,655
Keep dividing by the next highest number until you cannot divide anymore.

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

157353071,5352,14910,74511,51957,59580,633403,1653,536,33317,681,66524,754,331123,771,655
-1-5-7-35-307-1,535-2,149-10,745-11,519-57,595-80,633-403,165-3,536,333-17,681,665-24,754,331-123,771,655

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