Q: What are the factor combinations of the number 31,683,071?

 A:
Positive:   1 x 316830717 x 4526153127 x 249473157 x 201803227 x 139573889 x 356391099 x 288291589 x 19939
Negative: -1 x -31683071-7 x -4526153-127 x -249473-157 x -201803-227 x -139573-889 x -35639-1099 x -28829-1589 x -19939


How do I find the factor combinations of the number 31,683,071?

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 31,683,071, 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 31,683,071
-1 -31,683,071

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 31,683,071.

Example:
1 x 31,683,071 = 31,683,071
and
-1 x -31,683,071 = 31,683,071
Notice both answers equal 31,683,071

With that explanation out of the way, let's continue. Next, we take the number 31,683,071 and divide it by 2:

31,683,071 ÷ 2 = 15,841,535.5

If the quotient is a whole number, then 2 and 15,841,535.5 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 31,683,071
-1 -31,683,071

Now, we try dividing 31,683,071 by 3:

31,683,071 ÷ 3 = 10,561,023.6667

If the quotient is a whole number, then 3 and 10,561,023.6667 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 31,683,071
-1 -31,683,071

Let's try dividing by 4:

31,683,071 ÷ 4 = 7,920,767.75

If the quotient is a whole number, then 4 and 7,920,767.75 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 31,683,071
-1 31,683,071
Keep dividing by the next highest number until you cannot divide anymore.

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

171271572278891,0991,58919,93928,82935,639139,573201,803249,4734,526,15331,683,071
-1-7-127-157-227-889-1,099-1,589-19,939-28,829-35,639-139,573-201,803-249,473-4,526,153-31,683,071

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