Q: What are the factor combinations of the number 31,500,833?

 A:
Positive:   1 x 315008337 x 450011913 x 242314141 x 76831391 x 346163287 x 109759533 x 591013731 x 8443
Negative: -1 x -31500833-7 x -4500119-13 x -2423141-41 x -768313-91 x -346163-287 x -109759-533 x -59101-3731 x -8443


How do I find the factor combinations of the number 31,500,833?

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 31,500,833, 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 31,500,833
-1 -31,500,833

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 31,500,833.

Example:
1 x 31,500,833 = 31,500,833
and
-1 x -31,500,833 = 31,500,833
Notice both answers equal 31,500,833

With that explanation out of the way, let's continue. Next, we take the number 31,500,833 and divide it by 2:

31,500,833 ÷ 2 = 15,750,416.5

If the quotient is a whole number, then 2 and 15,750,416.5 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 31,500,833
-1 -31,500,833

Now, we try dividing 31,500,833 by 3:

31,500,833 ÷ 3 = 10,500,277.6667

If the quotient is a whole number, then 3 and 10,500,277.6667 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 31,500,833
-1 -31,500,833

Let's try dividing by 4:

31,500,833 ÷ 4 = 7,875,208.25

If the quotient is a whole number, then 4 and 7,875,208.25 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 31,500,833
-1 31,500,833
Keep dividing by the next highest number until you cannot divide anymore.

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

171341912875333,7318,44359,101109,759346,163768,3132,423,1414,500,11931,500,833
-1-7-13-41-91-287-533-3,731-8,443-59,101-109,759-346,163-768,313-2,423,141-4,500,119-31,500,833

More Examples

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