Q: What are the factor combinations of the number 123,060,365?

 A:
Positive:   1 x 1230603655 x 2461207317 x 723884583 x 148265585 x 1447769415 x 2965311411 x 872157055 x 17443
Negative: -1 x -123060365-5 x -24612073-17 x -7238845-83 x -1482655-85 x -1447769-415 x -296531-1411 x -87215-7055 x -17443


How do I find the factor combinations of the number 123,060,365?

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 123,060,365, 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.

1 123,060,365
-1 -123,060,365

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 123,060,365.

Example:
1 x 123,060,365 = 123,060,365
and
-1 x -123,060,365 = 123,060,365
Notice both answers equal 123,060,365

With that explanation out of the way, let's continue. Next, we take the number 123,060,365 and divide it by 2:

123,060,365 ÷ 2 = 61,530,182.5

If the quotient is a whole number, then 2 and 61,530,182.5 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:

1 123,060,365
-1 -123,060,365

Now, we try dividing 123,060,365 by 3:

123,060,365 ÷ 3 = 41,020,121.6667

If the quotient is a whole number, then 3 and 41,020,121.6667 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:

1 123,060,365
-1 -123,060,365

Let's try dividing by 4:

123,060,365 ÷ 4 = 30,765,091.25

If the quotient is a whole number, then 4 and 30,765,091.25 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:

1 123,060,365
-1 123,060,365
Keep dividing by the next highest number until you cannot divide anymore.

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

151783854151,4117,05517,44387,215296,5311,447,7691,482,6557,238,84524,612,073123,060,365
-1-5-17-83-85-415-1,411-7,055-17,443-87,215-296,531-1,447,769-1,482,655-7,238,845-24,612,073-123,060,365

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