Q: What are the factor combinations of the number 31,646,215?

 A:
Positive:   1 x 316462155 x 632924379 x 400585113 x 280055395 x 80117565 x 56011709 x 446353545 x 8927
Negative: -1 x -31646215-5 x -6329243-79 x -400585-113 x -280055-395 x -80117-565 x -56011-709 x -44635-3545 x -8927


How do I find the factor combinations of the number 31,646,215?

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 31,646,215, 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 31,646,215
-1 -31,646,215

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 31,646,215.

Example:
1 x 31,646,215 = 31,646,215
and
-1 x -31,646,215 = 31,646,215
Notice both answers equal 31,646,215

With that explanation out of the way, let's continue. Next, we take the number 31,646,215 and divide it by 2:

31,646,215 ÷ 2 = 15,823,107.5

If the quotient is a whole number, then 2 and 15,823,107.5 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 31,646,215
-1 -31,646,215

Now, we try dividing 31,646,215 by 3:

31,646,215 ÷ 3 = 10,548,738.3333

If the quotient is a whole number, then 3 and 10,548,738.3333 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 31,646,215
-1 -31,646,215

Let's try dividing by 4:

31,646,215 ÷ 4 = 7,911,553.75

If the quotient is a whole number, then 4 and 7,911,553.75 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 31,646,215
-1 31,646,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15791133955657093,5458,92744,63556,01180,117280,055400,5856,329,24331,646,215
-1-5-79-113-395-565-709-3,545-8,927-44,635-56,011-80,117-280,055-400,585-6,329,243-31,646,215

More Examples

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