Q: What are the factor combinations of the number 31,147,175?

 A:
Positive:   1 x 311471755 x 622943519 x 163932523 x 135422525 x 124588795 x 327865115 x 270845437 x 71275475 x 65573575 x 541692185 x 142552851 x 10925
Negative: -1 x -31147175-5 x -6229435-19 x -1639325-23 x -1354225-25 x -1245887-95 x -327865-115 x -270845-437 x -71275-475 x -65573-575 x -54169-2185 x -14255-2851 x -10925


How do I find the factor combinations of the number 31,147,175?

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 31,147,175, 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 31,147,175
-1 -31,147,175

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 31,147,175.

Example:
1 x 31,147,175 = 31,147,175
and
-1 x -31,147,175 = 31,147,175
Notice both answers equal 31,147,175

With that explanation out of the way, let's continue. Next, we take the number 31,147,175 and divide it by 2:

31,147,175 ÷ 2 = 15,573,587.5

If the quotient is a whole number, then 2 and 15,573,587.5 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 31,147,175
-1 -31,147,175

Now, we try dividing 31,147,175 by 3:

31,147,175 ÷ 3 = 10,382,391.6667

If the quotient is a whole number, then 3 and 10,382,391.6667 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 31,147,175
-1 -31,147,175

Let's try dividing by 4:

31,147,175 ÷ 4 = 7,786,793.75

If the quotient is a whole number, then 4 and 7,786,793.75 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 31,147,175
-1 31,147,175
Keep dividing by the next highest number until you cannot divide anymore.

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

15192325951154374755752,1852,85110,92514,25554,16965,57371,275270,845327,8651,245,8871,354,2251,639,3256,229,43531,147,175
-1-5-19-23-25-95-115-437-475-575-2,185-2,851-10,925-14,255-54,169-65,573-71,275-270,845-327,865-1,245,887-1,354,225-1,639,325-6,229,435-31,147,175

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