Q: What are the factor combinations of the number 16,178,867?

 A:
Positive:   1 x 1617886723 x 703429149 x 1085833427 x 4721
Negative: -1 x -16178867-23 x -703429-149 x -108583-3427 x -4721


How do I find the factor combinations of the number 16,178,867?

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 16,178,867, 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 16,178,867
-1 -16,178,867

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 16,178,867.

Example:
1 x 16,178,867 = 16,178,867
and
-1 x -16,178,867 = 16,178,867
Notice both answers equal 16,178,867

With that explanation out of the way, let's continue. Next, we take the number 16,178,867 and divide it by 2:

16,178,867 ÷ 2 = 8,089,433.5

If the quotient is a whole number, then 2 and 8,089,433.5 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 16,178,867
-1 -16,178,867

Now, we try dividing 16,178,867 by 3:

16,178,867 ÷ 3 = 5,392,955.6667

If the quotient is a whole number, then 3 and 5,392,955.6667 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 16,178,867
-1 -16,178,867

Let's try dividing by 4:

16,178,867 ÷ 4 = 4,044,716.75

If the quotient is a whole number, then 4 and 4,044,716.75 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 16,178,867
-1 16,178,867
Keep dividing by the next highest number until you cannot divide anymore.

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

1231493,4274,721108,583703,42916,178,867
-1-23-149-3,427-4,721-108,583-703,429-16,178,867

More Examples

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