Q: What are the factor combinations of the number 31,201,895?

 A:
Positive:   1 x 312018955 x 624037919 x 164220553 x 58871595 x 328441265 x 1177431007 x 309855035 x 6197
Negative: -1 x -31201895-5 x -6240379-19 x -1642205-53 x -588715-95 x -328441-265 x -117743-1007 x -30985-5035 x -6197


How do I find the factor combinations of the number 31,201,895?

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 31,201,895, 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 31,201,895
-1 -31,201,895

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 31,201,895.

Example:
1 x 31,201,895 = 31,201,895
and
-1 x -31,201,895 = 31,201,895
Notice both answers equal 31,201,895

With that explanation out of the way, let's continue. Next, we take the number 31,201,895 and divide it by 2:

31,201,895 ÷ 2 = 15,600,947.5

If the quotient is a whole number, then 2 and 15,600,947.5 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 31,201,895
-1 -31,201,895

Now, we try dividing 31,201,895 by 3:

31,201,895 ÷ 3 = 10,400,631.6667

If the quotient is a whole number, then 3 and 10,400,631.6667 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 31,201,895
-1 -31,201,895

Let's try dividing by 4:

31,201,895 ÷ 4 = 7,800,473.75

If the quotient is a whole number, then 4 and 7,800,473.75 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 31,201,895
-1 31,201,895
Keep dividing by the next highest number until you cannot divide anymore.

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

151953952651,0075,0356,19730,985117,743328,441588,7151,642,2056,240,37931,201,895
-1-5-19-53-95-265-1,007-5,035-6,197-30,985-117,743-328,441-588,715-1,642,205-6,240,379-31,201,895

More Examples

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