Q: What are the factor combinations of the number 31,202,735?

 A:
Positive:   1 x 312027355 x 624054717 x 183545543 x 72564585 x 367091215 x 145129731 x 426853655 x 8537
Negative: -1 x -31202735-5 x -6240547-17 x -1835455-43 x -725645-85 x -367091-215 x -145129-731 x -42685-3655 x -8537


How do I find the factor combinations of the number 31,202,735?

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 31,202,735, 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 31,202,735
-1 -31,202,735

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 31,202,735.

Example:
1 x 31,202,735 = 31,202,735
and
-1 x -31,202,735 = 31,202,735
Notice both answers equal 31,202,735

With that explanation out of the way, let's continue. Next, we take the number 31,202,735 and divide it by 2:

31,202,735 ÷ 2 = 15,601,367.5

If the quotient is a whole number, then 2 and 15,601,367.5 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 31,202,735
-1 -31,202,735

Now, we try dividing 31,202,735 by 3:

31,202,735 ÷ 3 = 10,400,911.6667

If the quotient is a whole number, then 3 and 10,400,911.6667 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 31,202,735
-1 -31,202,735

Let's try dividing by 4:

31,202,735 ÷ 4 = 7,800,683.75

If the quotient is a whole number, then 4 and 7,800,683.75 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 31,202,735
-1 31,202,735
Keep dividing by the next highest number until you cannot divide anymore.

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

151743852157313,6558,53742,685145,129367,091725,6451,835,4556,240,54731,202,735
-1-5-17-43-85-215-731-3,655-8,537-42,685-145,129-367,091-725,645-1,835,455-6,240,547-31,202,735

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