Q: What are the factor combinations of the number 13,435,331?

 A:
Positive:   1 x 134353317 x 191933313 x 103348741 x 32769191 x 147641169 x 79499277 x 48503287 x 46813533 x 252071183 x 113571939 x 69293601 x 3731
Negative: -1 x -13435331-7 x -1919333-13 x -1033487-41 x -327691-91 x -147641-169 x -79499-277 x -48503-287 x -46813-533 x -25207-1183 x -11357-1939 x -6929-3601 x -3731


How do I find the factor combinations of the number 13,435,331?

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 13,435,331, 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 13,435,331
-1 -13,435,331

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 13,435,331.

Example:
1 x 13,435,331 = 13,435,331
and
-1 x -13,435,331 = 13,435,331
Notice both answers equal 13,435,331

With that explanation out of the way, let's continue. Next, we take the number 13,435,331 and divide it by 2:

13,435,331 ÷ 2 = 6,717,665.5

If the quotient is a whole number, then 2 and 6,717,665.5 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 13,435,331
-1 -13,435,331

Now, we try dividing 13,435,331 by 3:

13,435,331 ÷ 3 = 4,478,443.6667

If the quotient is a whole number, then 3 and 4,478,443.6667 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 13,435,331
-1 -13,435,331

Let's try dividing by 4:

13,435,331 ÷ 4 = 3,358,832.75

If the quotient is a whole number, then 4 and 3,358,832.75 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 13,435,331
-1 13,435,331
Keep dividing by the next highest number until you cannot divide anymore.

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

171341911692772875331,1831,9393,6013,7316,92911,35725,20746,81348,50379,499147,641327,6911,033,4871,919,33313,435,331
-1-7-13-41-91-169-277-287-533-1,183-1,939-3,601-3,731-6,929-11,357-25,207-46,813-48,503-79,499-147,641-327,691-1,033,487-1,919,333-13,435,331

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