Q: What are the factor combinations of the number 44,320,031?

 A:
Positive:   1 x 443200317 x 633143353 x 83622767 x 661493371 x 119461469 x 944991783 x 248573551 x 12481
Negative: -1 x -44320031-7 x -6331433-53 x -836227-67 x -661493-371 x -119461-469 x -94499-1783 x -24857-3551 x -12481


How do I find the factor combinations of the number 44,320,031?

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 44,320,031, 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 44,320,031
-1 -44,320,031

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 44,320,031.

Example:
1 x 44,320,031 = 44,320,031
and
-1 x -44,320,031 = 44,320,031
Notice both answers equal 44,320,031

With that explanation out of the way, let's continue. Next, we take the number 44,320,031 and divide it by 2:

44,320,031 ÷ 2 = 22,160,015.5

If the quotient is a whole number, then 2 and 22,160,015.5 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 44,320,031
-1 -44,320,031

Now, we try dividing 44,320,031 by 3:

44,320,031 ÷ 3 = 14,773,343.6667

If the quotient is a whole number, then 3 and 14,773,343.6667 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 44,320,031
-1 -44,320,031

Let's try dividing by 4:

44,320,031 ÷ 4 = 11,080,007.75

If the quotient is a whole number, then 4 and 11,080,007.75 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 44,320,031
-1 44,320,031
Keep dividing by the next highest number until you cannot divide anymore.

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

1753673714691,7833,55112,48124,85794,499119,461661,493836,2276,331,43344,320,031
-1-7-53-67-371-469-1,783-3,551-12,481-24,857-94,499-119,461-661,493-836,227-6,331,433-44,320,031

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