Q: What are the factor combinations of the number 31,265,185?

 A:
Positive:   1 x 312651855 x 62530377 x 446645535 x 89329137 x 84500549 x 638065185 x 169001245 x 127613259 x 1207151295 x 241431813 x 172453449 x 9065
Negative: -1 x -31265185-5 x -6253037-7 x -4466455-35 x -893291-37 x -845005-49 x -638065-185 x -169001-245 x -127613-259 x -120715-1295 x -24143-1813 x -17245-3449 x -9065


How do I find the factor combinations of the number 31,265,185?

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 31,265,185, 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 31,265,185
-1 -31,265,185

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 31,265,185.

Example:
1 x 31,265,185 = 31,265,185
and
-1 x -31,265,185 = 31,265,185
Notice both answers equal 31,265,185

With that explanation out of the way, let's continue. Next, we take the number 31,265,185 and divide it by 2:

31,265,185 ÷ 2 = 15,632,592.5

If the quotient is a whole number, then 2 and 15,632,592.5 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 31,265,185
-1 -31,265,185

Now, we try dividing 31,265,185 by 3:

31,265,185 ÷ 3 = 10,421,728.3333

If the quotient is a whole number, then 3 and 10,421,728.3333 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 31,265,185
-1 -31,265,185

Let's try dividing by 4:

31,265,185 ÷ 4 = 7,816,296.25

If the quotient is a whole number, then 4 and 7,816,296.25 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 31,265,185
-1 31,265,185
Keep dividing by the next highest number until you cannot divide anymore.

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

1573537491852452591,2951,8133,4499,06517,24524,143120,715127,613169,001638,065845,005893,2914,466,4556,253,03731,265,185
-1-5-7-35-37-49-185-245-259-1,295-1,813-3,449-9,065-17,245-24,143-120,715-127,613-169,001-638,065-845,005-893,291-4,466,455-6,253,037-31,265,185

More Examples

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