Q: What are the factor combinations of the number 31,760,245?

 A:
Positive:   1 x 317602455 x 635204911 x 288729537 x 85838555 x 577459185 x 171677407 x 780352035 x 15607
Negative: -1 x -31760245-5 x -6352049-11 x -2887295-37 x -858385-55 x -577459-185 x -171677-407 x -78035-2035 x -15607


How do I find the factor combinations of the number 31,760,245?

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 31,760,245, 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 31,760,245
-1 -31,760,245

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 31,760,245.

Example:
1 x 31,760,245 = 31,760,245
and
-1 x -31,760,245 = 31,760,245
Notice both answers equal 31,760,245

With that explanation out of the way, let's continue. Next, we take the number 31,760,245 and divide it by 2:

31,760,245 ÷ 2 = 15,880,122.5

If the quotient is a whole number, then 2 and 15,880,122.5 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 31,760,245
-1 -31,760,245

Now, we try dividing 31,760,245 by 3:

31,760,245 ÷ 3 = 10,586,748.3333

If the quotient is a whole number, then 3 and 10,586,748.3333 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 31,760,245
-1 -31,760,245

Let's try dividing by 4:

31,760,245 ÷ 4 = 7,940,061.25

If the quotient is a whole number, then 4 and 7,940,061.25 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 31,760,245
-1 31,760,245
Keep dividing by the next highest number until you cannot divide anymore.

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

151137551854072,03515,60778,035171,677577,459858,3852,887,2956,352,04931,760,245
-1-5-11-37-55-185-407-2,035-15,607-78,035-171,677-577,459-858,385-2,887,295-6,352,049-31,760,245

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