Q: What are the factor combinations of the number 16,160,675?

 A:
Positive:   1 x 161606755 x 323213525 x 64642737 x 436775185 x 87355925 x 17471
Negative: -1 x -16160675-5 x -3232135-25 x -646427-37 x -436775-185 x -87355-925 x -17471


How do I find the factor combinations of the number 16,160,675?

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 16,160,675, 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 16,160,675
-1 -16,160,675

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 16,160,675.

Example:
1 x 16,160,675 = 16,160,675
and
-1 x -16,160,675 = 16,160,675
Notice both answers equal 16,160,675

With that explanation out of the way, let's continue. Next, we take the number 16,160,675 and divide it by 2:

16,160,675 ÷ 2 = 8,080,337.5

If the quotient is a whole number, then 2 and 8,080,337.5 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 16,160,675
-1 -16,160,675

Now, we try dividing 16,160,675 by 3:

16,160,675 ÷ 3 = 5,386,891.6667

If the quotient is a whole number, then 3 and 5,386,891.6667 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 16,160,675
-1 -16,160,675

Let's try dividing by 4:

16,160,675 ÷ 4 = 4,040,168.75

If the quotient is a whole number, then 4 and 4,040,168.75 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 16,160,675
-1 16,160,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15253718592517,47187,355436,775646,4273,232,13516,160,675
-1-5-25-37-185-925-17,471-87,355-436,775-646,427-3,232,135-16,160,675

More Examples

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