Q: What are the factor combinations of the number 31,656,275?

 A:
Positive:   1 x 316562755 x 63312557 x 452232525 x 126625135 x 90446537 x 855575175 x 180893185 x 171115259 x 122225925 x 342231295 x 244454889 x 6475
Negative: -1 x -31656275-5 x -6331255-7 x -4522325-25 x -1266251-35 x -904465-37 x -855575-175 x -180893-185 x -171115-259 x -122225-925 x -34223-1295 x -24445-4889 x -6475


How do I find the factor combinations of the number 31,656,275?

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 31,656,275, 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 31,656,275
-1 -31,656,275

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 31,656,275.

Example:
1 x 31,656,275 = 31,656,275
and
-1 x -31,656,275 = 31,656,275
Notice both answers equal 31,656,275

With that explanation out of the way, let's continue. Next, we take the number 31,656,275 and divide it by 2:

31,656,275 ÷ 2 = 15,828,137.5

If the quotient is a whole number, then 2 and 15,828,137.5 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 31,656,275
-1 -31,656,275

Now, we try dividing 31,656,275 by 3:

31,656,275 ÷ 3 = 10,552,091.6667

If the quotient is a whole number, then 3 and 10,552,091.6667 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 31,656,275
-1 -31,656,275

Let's try dividing by 4:

31,656,275 ÷ 4 = 7,914,068.75

If the quotient is a whole number, then 4 and 7,914,068.75 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 31,656,275
-1 31,656,275
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535371751852599251,2954,8896,47524,44534,223122,225171,115180,893855,575904,4651,266,2514,522,3256,331,25531,656,275
-1-5-7-25-35-37-175-185-259-925-1,295-4,889-6,475-24,445-34,223-122,225-171,115-180,893-855,575-904,465-1,266,251-4,522,325-6,331,255-31,656,275

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