Q: What are the factor combinations of the number 253,620,655?

 A:
Positive:   1 x 2536206555 x 5072413123 x 11026985109 x 2326795115 x 2205397545 x 4653592507 x 10116512535 x 20233
Negative: -1 x -253620655-5 x -50724131-23 x -11026985-109 x -2326795-115 x -2205397-545 x -465359-2507 x -101165-12535 x -20233


How do I find the factor combinations of the number 253,620,655?

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 253,620,655, 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.

1 253,620,655
-1 -253,620,655

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 253,620,655.

Example:
1 x 253,620,655 = 253,620,655
and
-1 x -253,620,655 = 253,620,655
Notice both answers equal 253,620,655

With that explanation out of the way, let's continue. Next, we take the number 253,620,655 and divide it by 2:

253,620,655 ÷ 2 = 126,810,327.5

If the quotient is a whole number, then 2 and 126,810,327.5 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:

1 253,620,655
-1 -253,620,655

Now, we try dividing 253,620,655 by 3:

253,620,655 ÷ 3 = 84,540,218.3333

If the quotient is a whole number, then 3 and 84,540,218.3333 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:

1 253,620,655
-1 -253,620,655

Let's try dividing by 4:

253,620,655 ÷ 4 = 63,405,163.75

If the quotient is a whole number, then 4 and 63,405,163.75 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:

1 253,620,655
-1 253,620,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15231091155452,50712,53520,233101,165465,3592,205,3972,326,79511,026,98550,724,131253,620,655
-1-5-23-109-115-545-2,507-12,535-20,233-101,165-465,359-2,205,397-2,326,795-11,026,985-50,724,131-253,620,655

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