Q: What are the factor combinations of the number 16,157,855?

 A:
Positive:   1 x 161578555 x 32315717 x 230826535 x 461653
Negative: -1 x -16157855-5 x -3231571-7 x -2308265-35 x -461653


How do I find the factor combinations of the number 16,157,855?

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 16,157,855, 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 16,157,855
-1 -16,157,855

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 16,157,855.

Example:
1 x 16,157,855 = 16,157,855
and
-1 x -16,157,855 = 16,157,855
Notice both answers equal 16,157,855

With that explanation out of the way, let's continue. Next, we take the number 16,157,855 and divide it by 2:

16,157,855 ÷ 2 = 8,078,927.5

If the quotient is a whole number, then 2 and 8,078,927.5 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 16,157,855
-1 -16,157,855

Now, we try dividing 16,157,855 by 3:

16,157,855 ÷ 3 = 5,385,951.6667

If the quotient is a whole number, then 3 and 5,385,951.6667 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 16,157,855
-1 -16,157,855

Let's try dividing by 4:

16,157,855 ÷ 4 = 4,039,463.75

If the quotient is a whole number, then 4 and 4,039,463.75 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 16,157,855
-1 16,157,855
Keep dividing by the next highest number until you cannot divide anymore.

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

15735461,6532,308,2653,231,57116,157,855
-1-5-7-35-461,653-2,308,265-3,231,571-16,157,855

More Examples

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