Q: What are the factor combinations of the number 31,347,043?

 A:
Positive:   1 x 313470437 x 447814913 x 241131143 x 72900191 x 344473301 x 104143559 x 560773913 x 8011
Negative: -1 x -31347043-7 x -4478149-13 x -2411311-43 x -729001-91 x -344473-301 x -104143-559 x -56077-3913 x -8011


How do I find the factor combinations of the number 31,347,043?

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 31,347,043, 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 31,347,043
-1 -31,347,043

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 31,347,043.

Example:
1 x 31,347,043 = 31,347,043
and
-1 x -31,347,043 = 31,347,043
Notice both answers equal 31,347,043

With that explanation out of the way, let's continue. Next, we take the number 31,347,043 and divide it by 2:

31,347,043 ÷ 2 = 15,673,521.5

If the quotient is a whole number, then 2 and 15,673,521.5 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 31,347,043
-1 -31,347,043

Now, we try dividing 31,347,043 by 3:

31,347,043 ÷ 3 = 10,449,014.3333

If the quotient is a whole number, then 3 and 10,449,014.3333 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 31,347,043
-1 -31,347,043

Let's try dividing by 4:

31,347,043 ÷ 4 = 7,836,760.75

If the quotient is a whole number, then 4 and 7,836,760.75 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 31,347,043
-1 31,347,043
Keep dividing by the next highest number until you cannot divide anymore.

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

171343913015593,9138,01156,077104,143344,473729,0012,411,3114,478,14931,347,043
-1-7-13-43-91-301-559-3,913-8,011-56,077-104,143-344,473-729,001-2,411,311-4,478,149-31,347,043

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