Q: What are the factor combinations of the number 16,157,995?

 A:
Positive:   1 x 161579955 x 32315997 x 230828535 x 46165749 x 329755245 x 65951
Negative: -1 x -16157995-5 x -3231599-7 x -2308285-35 x -461657-49 x -329755-245 x -65951


How do I find the factor combinations of the number 16,157,995?

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 16,157,995, 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 16,157,995
-1 -16,157,995

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 16,157,995.

Example:
1 x 16,157,995 = 16,157,995
and
-1 x -16,157,995 = 16,157,995
Notice both answers equal 16,157,995

With that explanation out of the way, let's continue. Next, we take the number 16,157,995 and divide it by 2:

16,157,995 ÷ 2 = 8,078,997.5

If the quotient is a whole number, then 2 and 8,078,997.5 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 16,157,995
-1 -16,157,995

Now, we try dividing 16,157,995 by 3:

16,157,995 ÷ 3 = 5,385,998.3333

If the quotient is a whole number, then 3 and 5,385,998.3333 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 16,157,995
-1 -16,157,995

Let's try dividing by 4:

16,157,995 ÷ 4 = 4,039,498.75

If the quotient is a whole number, then 4 and 4,039,498.75 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 16,157,995
-1 16,157,995
Keep dividing by the next highest number until you cannot divide anymore.

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

157354924565,951329,755461,6572,308,2853,231,59916,157,995
-1-5-7-35-49-245-65,951-329,755-461,657-2,308,285-3,231,599-16,157,995

More Examples

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