Q: What are the factor combinations of the number 31,731,425?

 A:
Positive:   1 x 317314255 x 634628511 x 288467519 x 167007525 x 126925755 x 57693595 x 334015209 x 151825275 x 115387475 x 668031045 x 303655225 x 6073
Negative: -1 x -31731425-5 x -6346285-11 x -2884675-19 x -1670075-25 x -1269257-55 x -576935-95 x -334015-209 x -151825-275 x -115387-475 x -66803-1045 x -30365-5225 x -6073


How do I find the factor combinations of the number 31,731,425?

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 31,731,425, 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 31,731,425
-1 -31,731,425

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 31,731,425.

Example:
1 x 31,731,425 = 31,731,425
and
-1 x -31,731,425 = 31,731,425
Notice both answers equal 31,731,425

With that explanation out of the way, let's continue. Next, we take the number 31,731,425 and divide it by 2:

31,731,425 ÷ 2 = 15,865,712.5

If the quotient is a whole number, then 2 and 15,865,712.5 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 31,731,425
-1 -31,731,425

Now, we try dividing 31,731,425 by 3:

31,731,425 ÷ 3 = 10,577,141.6667

If the quotient is a whole number, then 3 and 10,577,141.6667 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 31,731,425
-1 -31,731,425

Let's try dividing by 4:

31,731,425 ÷ 4 = 7,932,856.25

If the quotient is a whole number, then 4 and 7,932,856.25 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 31,731,425
-1 31,731,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1511192555952092754751,0455,2256,07330,36566,803115,387151,825334,015576,9351,269,2571,670,0752,884,6756,346,28531,731,425
-1-5-11-19-25-55-95-209-275-475-1,045-5,225-6,073-30,365-66,803-115,387-151,825-334,015-576,935-1,269,257-1,670,075-2,884,675-6,346,285-31,731,425

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