Q: What are the factor combinations of the number 31,243,433?

 A:
Positive:   1 x 3124343313 x 240334117 x 1837849109 x 286637221 x 1413731297 x 240891417 x 220491853 x 16861
Negative: -1 x -31243433-13 x -2403341-17 x -1837849-109 x -286637-221 x -141373-1297 x -24089-1417 x -22049-1853 x -16861


How do I find the factor combinations of the number 31,243,433?

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 31,243,433, 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 31,243,433
-1 -31,243,433

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 31,243,433.

Example:
1 x 31,243,433 = 31,243,433
and
-1 x -31,243,433 = 31,243,433
Notice both answers equal 31,243,433

With that explanation out of the way, let's continue. Next, we take the number 31,243,433 and divide it by 2:

31,243,433 ÷ 2 = 15,621,716.5

If the quotient is a whole number, then 2 and 15,621,716.5 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 31,243,433
-1 -31,243,433

Now, we try dividing 31,243,433 by 3:

31,243,433 ÷ 3 = 10,414,477.6667

If the quotient is a whole number, then 3 and 10,414,477.6667 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 31,243,433
-1 -31,243,433

Let's try dividing by 4:

31,243,433 ÷ 4 = 7,810,858.25

If the quotient is a whole number, then 4 and 7,810,858.25 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 31,243,433
-1 31,243,433
Keep dividing by the next highest number until you cannot divide anymore.

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

113171092211,2971,4171,85316,86122,04924,089141,373286,6371,837,8492,403,34131,243,433
-1-13-17-109-221-1,297-1,417-1,853-16,861-22,049-24,089-141,373-286,637-1,837,849-2,403,341-31,243,433

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