Q: What are the factor combinations of the number 16,731,835?

 A:
Positive:   1 x 167318355 x 334636753 x 315695103 x 162445265 x 63139515 x 32489613 x 272953065 x 5459
Negative: -1 x -16731835-5 x -3346367-53 x -315695-103 x -162445-265 x -63139-515 x -32489-613 x -27295-3065 x -5459


How do I find the factor combinations of the number 16,731,835?

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 16,731,835, 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 16,731,835
-1 -16,731,835

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 16,731,835.

Example:
1 x 16,731,835 = 16,731,835
and
-1 x -16,731,835 = 16,731,835
Notice both answers equal 16,731,835

With that explanation out of the way, let's continue. Next, we take the number 16,731,835 and divide it by 2:

16,731,835 ÷ 2 = 8,365,917.5

If the quotient is a whole number, then 2 and 8,365,917.5 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 16,731,835
-1 -16,731,835

Now, we try dividing 16,731,835 by 3:

16,731,835 ÷ 3 = 5,577,278.3333

If the quotient is a whole number, then 3 and 5,577,278.3333 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 16,731,835
-1 -16,731,835

Let's try dividing by 4:

16,731,835 ÷ 4 = 4,182,958.75

If the quotient is a whole number, then 4 and 4,182,958.75 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 16,731,835
-1 16,731,835
Keep dividing by the next highest number until you cannot divide anymore.

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

15531032655156133,0655,45927,29532,48963,139162,445315,6953,346,36716,731,835
-1-5-53-103-265-515-613-3,065-5,459-27,295-32,489-63,139-162,445-315,695-3,346,367-16,731,835

More Examples

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