Q: What are the factor combinations of the number 31,268,185?

 A:
Positive:   1 x 312681855 x 625363713 x 240524517 x 183930565 x 48104985 x 367861221 x 1414851105 x 28297
Negative: -1 x -31268185-5 x -6253637-13 x -2405245-17 x -1839305-65 x -481049-85 x -367861-221 x -141485-1105 x -28297


How do I find the factor combinations of the number 31,268,185?

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 31,268,185, 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 31,268,185
-1 -31,268,185

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 31,268,185.

Example:
1 x 31,268,185 = 31,268,185
and
-1 x -31,268,185 = 31,268,185
Notice both answers equal 31,268,185

With that explanation out of the way, let's continue. Next, we take the number 31,268,185 and divide it by 2:

31,268,185 ÷ 2 = 15,634,092.5

If the quotient is a whole number, then 2 and 15,634,092.5 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 31,268,185
-1 -31,268,185

Now, we try dividing 31,268,185 by 3:

31,268,185 ÷ 3 = 10,422,728.3333

If the quotient is a whole number, then 3 and 10,422,728.3333 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 31,268,185
-1 -31,268,185

Let's try dividing by 4:

31,268,185 ÷ 4 = 7,817,046.25

If the quotient is a whole number, then 4 and 7,817,046.25 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 31,268,185
-1 31,268,185
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,10528,297141,485367,861481,0491,839,3052,405,2456,253,63731,268,185
-1-5-13-17-65-85-221-1,105-28,297-141,485-367,861-481,049-1,839,305-2,405,245-6,253,637-31,268,185

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