Q: What are the factor combinations of the number 31,305,245?

 A:
Positive:   1 x 313052455 x 626104917 x 184148553 x 59066585 x 368297265 x 118133901 x 347454505 x 6949
Negative: -1 x -31305245-5 x -6261049-17 x -1841485-53 x -590665-85 x -368297-265 x -118133-901 x -34745-4505 x -6949


How do I find the factor combinations of the number 31,305,245?

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 31,305,245, 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 31,305,245
-1 -31,305,245

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 31,305,245.

Example:
1 x 31,305,245 = 31,305,245
and
-1 x -31,305,245 = 31,305,245
Notice both answers equal 31,305,245

With that explanation out of the way, let's continue. Next, we take the number 31,305,245 and divide it by 2:

31,305,245 ÷ 2 = 15,652,622.5

If the quotient is a whole number, then 2 and 15,652,622.5 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 31,305,245
-1 -31,305,245

Now, we try dividing 31,305,245 by 3:

31,305,245 ÷ 3 = 10,435,081.6667

If the quotient is a whole number, then 3 and 10,435,081.6667 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 31,305,245
-1 -31,305,245

Let's try dividing by 4:

31,305,245 ÷ 4 = 7,826,311.25

If the quotient is a whole number, then 4 and 7,826,311.25 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 31,305,245
-1 31,305,245
Keep dividing by the next highest number until you cannot divide anymore.

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

151753852659014,5056,94934,745118,133368,297590,6651,841,4856,261,04931,305,245
-1-5-17-53-85-265-901-4,505-6,949-34,745-118,133-368,297-590,665-1,841,485-6,261,049-31,305,245

More Examples

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