Q: What are the factor combinations of the number 31,388,833?

 A:
Positive:   1 x 313888337 x 448411931 x 101254379 x 397327217 x 144649553 x 567611831 x 171432449 x 12817
Negative: -1 x -31388833-7 x -4484119-31 x -1012543-79 x -397327-217 x -144649-553 x -56761-1831 x -17143-2449 x -12817


How do I find the factor combinations of the number 31,388,833?

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 31,388,833, 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 31,388,833
-1 -31,388,833

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 31,388,833.

Example:
1 x 31,388,833 = 31,388,833
and
-1 x -31,388,833 = 31,388,833
Notice both answers equal 31,388,833

With that explanation out of the way, let's continue. Next, we take the number 31,388,833 and divide it by 2:

31,388,833 ÷ 2 = 15,694,416.5

If the quotient is a whole number, then 2 and 15,694,416.5 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 31,388,833
-1 -31,388,833

Now, we try dividing 31,388,833 by 3:

31,388,833 ÷ 3 = 10,462,944.3333

If the quotient is a whole number, then 3 and 10,462,944.3333 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 31,388,833
-1 -31,388,833

Let's try dividing by 4:

31,388,833 ÷ 4 = 7,847,208.25

If the quotient is a whole number, then 4 and 7,847,208.25 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 31,388,833
-1 31,388,833
Keep dividing by the next highest number until you cannot divide anymore.

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

1731792175531,8312,44912,81717,14356,761144,649397,3271,012,5434,484,11931,388,833
-1-7-31-79-217-553-1,831-2,449-12,817-17,143-56,761-144,649-397,327-1,012,543-4,484,119-31,388,833

More Examples

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