Q: What are the factor combinations of the number 31,220,791?

 A:
Positive:   1 x 312207917 x 446011329 x 107657949 x 637159127 x 245833173 x 180467203 x 153797889 x 351191211 x 257811421 x 219713683 x 84775017 x 6223
Negative: -1 x -31220791-7 x -4460113-29 x -1076579-49 x -637159-127 x -245833-173 x -180467-203 x -153797-889 x -35119-1211 x -25781-1421 x -21971-3683 x -8477-5017 x -6223


How do I find the factor combinations of the number 31,220,791?

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 31,220,791, 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 31,220,791
-1 -31,220,791

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 31,220,791.

Example:
1 x 31,220,791 = 31,220,791
and
-1 x -31,220,791 = 31,220,791
Notice both answers equal 31,220,791

With that explanation out of the way, let's continue. Next, we take the number 31,220,791 and divide it by 2:

31,220,791 ÷ 2 = 15,610,395.5

If the quotient is a whole number, then 2 and 15,610,395.5 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 31,220,791
-1 -31,220,791

Now, we try dividing 31,220,791 by 3:

31,220,791 ÷ 3 = 10,406,930.3333

If the quotient is a whole number, then 3 and 10,406,930.3333 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 31,220,791
-1 -31,220,791

Let's try dividing by 4:

31,220,791 ÷ 4 = 7,805,197.75

If the quotient is a whole number, then 4 and 7,805,197.75 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 31,220,791
-1 31,220,791
Keep dividing by the next highest number until you cannot divide anymore.

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

1729491271732038891,2111,4213,6835,0176,2238,47721,97125,78135,119153,797180,467245,833637,1591,076,5794,460,11331,220,791
-1-7-29-49-127-173-203-889-1,211-1,421-3,683-5,017-6,223-8,477-21,971-25,781-35,119-153,797-180,467-245,833-637,159-1,076,579-4,460,113-31,220,791

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