Q: What are the factor combinations of the number 31,255,865?

 A:
Positive:   1 x 312558655 x 6251173103 x 303455137 x 228145443 x 70555515 x 60691685 x 456292215 x 14111
Negative: -1 x -31255865-5 x -6251173-103 x -303455-137 x -228145-443 x -70555-515 x -60691-685 x -45629-2215 x -14111


How do I find the factor combinations of the number 31,255,865?

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 31,255,865, 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 31,255,865
-1 -31,255,865

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 31,255,865.

Example:
1 x 31,255,865 = 31,255,865
and
-1 x -31,255,865 = 31,255,865
Notice both answers equal 31,255,865

With that explanation out of the way, let's continue. Next, we take the number 31,255,865 and divide it by 2:

31,255,865 ÷ 2 = 15,627,932.5

If the quotient is a whole number, then 2 and 15,627,932.5 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 31,255,865
-1 -31,255,865

Now, we try dividing 31,255,865 by 3:

31,255,865 ÷ 3 = 10,418,621.6667

If the quotient is a whole number, then 3 and 10,418,621.6667 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 31,255,865
-1 -31,255,865

Let's try dividing by 4:

31,255,865 ÷ 4 = 7,813,966.25

If the quotient is a whole number, then 4 and 7,813,966.25 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 31,255,865
-1 31,255,865
Keep dividing by the next highest number until you cannot divide anymore.

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

151031374435156852,21514,11145,62960,69170,555228,145303,4556,251,17331,255,865
-1-5-103-137-443-515-685-2,215-14,111-45,629-60,691-70,555-228,145-303,455-6,251,173-31,255,865

More Examples

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