Q: What are the factor combinations of the number 240,456,055?

 A:
Positive:   1 x 2404560555 x 480912117 x 3435086535 x 687017371 x 3386705355 x 677341497 x 4838152485 x 96763
Negative: -1 x -240456055-5 x -48091211-7 x -34350865-35 x -6870173-71 x -3386705-355 x -677341-497 x -483815-2485 x -96763


How do I find the factor combinations of the number 240,456,055?

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 240,456,055, 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.

1 240,456,055
-1 -240,456,055

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 240,456,055.

Example:
1 x 240,456,055 = 240,456,055
and
-1 x -240,456,055 = 240,456,055
Notice both answers equal 240,456,055

With that explanation out of the way, let's continue. Next, we take the number 240,456,055 and divide it by 2:

240,456,055 ÷ 2 = 120,228,027.5

If the quotient is a whole number, then 2 and 120,228,027.5 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:

1 240,456,055
-1 -240,456,055

Now, we try dividing 240,456,055 by 3:

240,456,055 ÷ 3 = 80,152,018.3333

If the quotient is a whole number, then 3 and 80,152,018.3333 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:

1 240,456,055
-1 -240,456,055

Let's try dividing by 4:

240,456,055 ÷ 4 = 60,114,013.75

If the quotient is a whole number, then 4 and 60,114,013.75 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:

1 240,456,055
-1 240,456,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15735713554972,48596,763483,815677,3413,386,7056,870,17334,350,86548,091,211240,456,055
-1-5-7-35-71-355-497-2,485-96,763-483,815-677,341-3,386,705-6,870,173-34,350,865-48,091,211-240,456,055

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