Q: What are the factor combinations of the number 31,615,927?

 A:
Positive:   1 x 316159277 x 451656149 x 645223151 x 2093771057 x 299114273 x 7399
Negative: -1 x -31615927-7 x -4516561-49 x -645223-151 x -209377-1057 x -29911-4273 x -7399


How do I find the factor combinations of the number 31,615,927?

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 31,615,927, 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 31,615,927
-1 -31,615,927

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 31,615,927.

Example:
1 x 31,615,927 = 31,615,927
and
-1 x -31,615,927 = 31,615,927
Notice both answers equal 31,615,927

With that explanation out of the way, let's continue. Next, we take the number 31,615,927 and divide it by 2:

31,615,927 ÷ 2 = 15,807,963.5

If the quotient is a whole number, then 2 and 15,807,963.5 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 31,615,927
-1 -31,615,927

Now, we try dividing 31,615,927 by 3:

31,615,927 ÷ 3 = 10,538,642.3333

If the quotient is a whole number, then 3 and 10,538,642.3333 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 31,615,927
-1 -31,615,927

Let's try dividing by 4:

31,615,927 ÷ 4 = 7,903,981.75

If the quotient is a whole number, then 4 and 7,903,981.75 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 31,615,927
-1 31,615,927
Keep dividing by the next highest number until you cannot divide anymore.

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

17491511,0574,2737,39929,911209,377645,2234,516,56131,615,927
-1-7-49-151-1,057-4,273-7,399-29,911-209,377-645,223-4,516,561-31,615,927

More Examples

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