Q: What are the factor combinations of the number 31,336,525?

 A:
Positive:   1 x 313365255 x 626730511 x 284877517 x 184332525 x 125346155 x 56975585 x 368665187 x 167575275 x 113951425 x 73733935 x 335154675 x 6703
Negative: -1 x -31336525-5 x -6267305-11 x -2848775-17 x -1843325-25 x -1253461-55 x -569755-85 x -368665-187 x -167575-275 x -113951-425 x -73733-935 x -33515-4675 x -6703


How do I find the factor combinations of the number 31,336,525?

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 31,336,525, 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 31,336,525
-1 -31,336,525

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 31,336,525.

Example:
1 x 31,336,525 = 31,336,525
and
-1 x -31,336,525 = 31,336,525
Notice both answers equal 31,336,525

With that explanation out of the way, let's continue. Next, we take the number 31,336,525 and divide it by 2:

31,336,525 ÷ 2 = 15,668,262.5

If the quotient is a whole number, then 2 and 15,668,262.5 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 31,336,525
-1 -31,336,525

Now, we try dividing 31,336,525 by 3:

31,336,525 ÷ 3 = 10,445,508.3333

If the quotient is a whole number, then 3 and 10,445,508.3333 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 31,336,525
-1 -31,336,525

Let's try dividing by 4:

31,336,525 ÷ 4 = 7,834,131.25

If the quotient is a whole number, then 4 and 7,834,131.25 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 31,336,525
-1 31,336,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1511172555851872754259354,6756,70333,51573,733113,951167,575368,665569,7551,253,4611,843,3252,848,7756,267,30531,336,525
-1-5-11-17-25-55-85-187-275-425-935-4,675-6,703-33,515-73,733-113,951-167,575-368,665-569,755-1,253,461-1,843,325-2,848,775-6,267,305-31,336,525

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