Q: What are the factor combinations of the number 31,660,465?

 A:
Positive:   1 x 316604655 x 633209373 x 433705127 x 249295365 x 86741635 x 49859683 x 463553415 x 9271
Negative: -1 x -31660465-5 x -6332093-73 x -433705-127 x -249295-365 x -86741-635 x -49859-683 x -46355-3415 x -9271


How do I find the factor combinations of the number 31,660,465?

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 31,660,465, 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 31,660,465
-1 -31,660,465

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 31,660,465.

Example:
1 x 31,660,465 = 31,660,465
and
-1 x -31,660,465 = 31,660,465
Notice both answers equal 31,660,465

With that explanation out of the way, let's continue. Next, we take the number 31,660,465 and divide it by 2:

31,660,465 ÷ 2 = 15,830,232.5

If the quotient is a whole number, then 2 and 15,830,232.5 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 31,660,465
-1 -31,660,465

Now, we try dividing 31,660,465 by 3:

31,660,465 ÷ 3 = 10,553,488.3333

If the quotient is a whole number, then 3 and 10,553,488.3333 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 31,660,465
-1 -31,660,465

Let's try dividing by 4:

31,660,465 ÷ 4 = 7,915,116.25

If the quotient is a whole number, then 4 and 7,915,116.25 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 31,660,465
-1 31,660,465
Keep dividing by the next highest number until you cannot divide anymore.

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

15731273656356833,4159,27146,35549,85986,741249,295433,7056,332,09331,660,465
-1-5-73-127-365-635-683-3,415-9,271-46,355-49,859-86,741-249,295-433,705-6,332,093-31,660,465

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 31,660,465:


Ask a Question