Q: What are the factor combinations of the number 123,041,555?

 A:
Positive:   1 x 1230415555 x 246083117 x 1757736513 x 946473535 x 351547365 x 189294791 x 1352105455 x 270421
Negative: -1 x -123041555-5 x -24608311-7 x -17577365-13 x -9464735-35 x -3515473-65 x -1892947-91 x -1352105-455 x -270421


How do I find the factor combinations of the number 123,041,555?

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 123,041,555, 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.

1 123,041,555
-1 -123,041,555

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 123,041,555.

Example:
1 x 123,041,555 = 123,041,555
and
-1 x -123,041,555 = 123,041,555
Notice both answers equal 123,041,555

With that explanation out of the way, let's continue. Next, we take the number 123,041,555 and divide it by 2:

123,041,555 ÷ 2 = 61,520,777.5

If the quotient is a whole number, then 2 and 61,520,777.5 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:

1 123,041,555
-1 -123,041,555

Now, we try dividing 123,041,555 by 3:

123,041,555 ÷ 3 = 41,013,851.6667

If the quotient is a whole number, then 3 and 41,013,851.6667 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:

1 123,041,555
-1 -123,041,555

Let's try dividing by 4:

123,041,555 ÷ 4 = 30,760,388.75

If the quotient is a whole number, then 4 and 30,760,388.75 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:

1 123,041,555
-1 123,041,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15713356591455270,4211,352,1051,892,9473,515,4739,464,73517,577,36524,608,311123,041,555
-1-5-7-13-35-65-91-455-270,421-1,352,105-1,892,947-3,515,473-9,464,735-17,577,365-24,608,311-123,041,555

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