Q: What are the factor combinations of the number 31,287,815?

 A:
Positive:   1 x 312878155 x 625756313 x 240675561 x 51291565 x 481351169 x 185135305 x 102583607 x 51545793 x 39455845 x 370273035 x 103093965 x 7891
Negative: -1 x -31287815-5 x -6257563-13 x -2406755-61 x -512915-65 x -481351-169 x -185135-305 x -102583-607 x -51545-793 x -39455-845 x -37027-3035 x -10309-3965 x -7891


How do I find the factor combinations of the number 31,287,815?

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 31,287,815, 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 31,287,815
-1 -31,287,815

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 31,287,815.

Example:
1 x 31,287,815 = 31,287,815
and
-1 x -31,287,815 = 31,287,815
Notice both answers equal 31,287,815

With that explanation out of the way, let's continue. Next, we take the number 31,287,815 and divide it by 2:

31,287,815 ÷ 2 = 15,643,907.5

If the quotient is a whole number, then 2 and 15,643,907.5 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 31,287,815
-1 -31,287,815

Now, we try dividing 31,287,815 by 3:

31,287,815 ÷ 3 = 10,429,271.6667

If the quotient is a whole number, then 3 and 10,429,271.6667 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 31,287,815
-1 -31,287,815

Let's try dividing by 4:

31,287,815 ÷ 4 = 7,821,953.75

If the quotient is a whole number, then 4 and 7,821,953.75 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 31,287,815
-1 31,287,815
Keep dividing by the next highest number until you cannot divide anymore.

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

151361651693056077938453,0353,9657,89110,30937,02739,45551,545102,583185,135481,351512,9152,406,7556,257,56331,287,815
-1-5-13-61-65-169-305-607-793-845-3,035-3,965-7,891-10,309-37,027-39,455-51,545-102,583-185,135-481,351-512,915-2,406,755-6,257,563-31,287,815

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