Q: What are the factor combinations of the number 31,336,595?

 A:
Positive:   1 x 313365955 x 626731937 x 846935113 x 277315185 x 169387565 x 554631499 x 209054181 x 7495
Negative: -1 x -31336595-5 x -6267319-37 x -846935-113 x -277315-185 x -169387-565 x -55463-1499 x -20905-4181 x -7495


How do I find the factor combinations of the number 31,336,595?

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 31,336,595, 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 31,336,595
-1 -31,336,595

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 31,336,595.

Example:
1 x 31,336,595 = 31,336,595
and
-1 x -31,336,595 = 31,336,595
Notice both answers equal 31,336,595

With that explanation out of the way, let's continue. Next, we take the number 31,336,595 and divide it by 2:

31,336,595 ÷ 2 = 15,668,297.5

If the quotient is a whole number, then 2 and 15,668,297.5 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 31,336,595
-1 -31,336,595

Now, we try dividing 31,336,595 by 3:

31,336,595 ÷ 3 = 10,445,531.6667

If the quotient is a whole number, then 3 and 10,445,531.6667 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 31,336,595
-1 -31,336,595

Let's try dividing by 4:

31,336,595 ÷ 4 = 7,834,148.75

If the quotient is a whole number, then 4 and 7,834,148.75 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 31,336,595
-1 31,336,595
Keep dividing by the next highest number until you cannot divide anymore.

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

15371131855651,4994,1817,49520,90555,463169,387277,315846,9356,267,31931,336,595
-1-5-37-113-185-565-1,499-4,181-7,495-20,905-55,463-169,387-277,315-846,935-6,267,319-31,336,595

More Examples

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