Q: What are the factor combinations of the number 31,255,367?

 A:
Positive:   1 x 3125536711 x 284139713 x 240425917 x 183855123 x 135892943 x 726869143 x 218569169 x 184943187 x 167141221 x 141427253 x 123539299 x 104533391 x 79937473 x 66079559 x 55913731 x 42757989 x 316031859 x 168132431 x 128572873 x 108793289 x 95033887 x 80414301 x 72675083 x 6149
Negative: -1 x -31255367-11 x -2841397-13 x -2404259-17 x -1838551-23 x -1358929-43 x -726869-143 x -218569-169 x -184943-187 x -167141-221 x -141427-253 x -123539-299 x -104533-391 x -79937-473 x -66079-559 x -55913-731 x -42757-989 x -31603-1859 x -16813-2431 x -12857-2873 x -10879-3289 x -9503-3887 x -8041-4301 x -7267-5083 x -6149


How do I find the factor combinations of the number 31,255,367?

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 31,255,367, 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 31,255,367
-1 -31,255,367

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 31,255,367.

Example:
1 x 31,255,367 = 31,255,367
and
-1 x -31,255,367 = 31,255,367
Notice both answers equal 31,255,367

With that explanation out of the way, let's continue. Next, we take the number 31,255,367 and divide it by 2:

31,255,367 ÷ 2 = 15,627,683.5

If the quotient is a whole number, then 2 and 15,627,683.5 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 31,255,367
-1 -31,255,367

Now, we try dividing 31,255,367 by 3:

31,255,367 ÷ 3 = 10,418,455.6667

If the quotient is a whole number, then 3 and 10,418,455.6667 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 31,255,367
-1 -31,255,367

Let's try dividing by 4:

31,255,367 ÷ 4 = 7,813,841.75

If the quotient is a whole number, then 4 and 7,813,841.75 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 31,255,367
-1 31,255,367
Keep dividing by the next highest number until you cannot divide anymore.

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

111131723431431691872212532993914735597319891,8592,4312,8733,2893,8874,3015,0836,1497,2678,0419,50310,87912,85716,81331,60342,75755,91366,07979,937104,533123,539141,427167,141184,943218,569726,8691,358,9291,838,5512,404,2592,841,39731,255,367
-1-11-13-17-23-43-143-169-187-221-253-299-391-473-559-731-989-1,859-2,431-2,873-3,289-3,887-4,301-5,083-6,149-7,267-8,041-9,503-10,879-12,857-16,813-31,603-42,757-55,913-66,079-79,937-104,533-123,539-141,427-167,141-184,943-218,569-726,869-1,358,929-1,838,551-2,404,259-2,841,397-31,255,367

More Examples

Here are some more numbers to try:

31,255,36531,255,36631,255,36831,255,369
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