Q: What are the factor combinations of the number 16,162,643?

 A:
Positive:   1 x 161626437 x 2308949251 x 643931757 x 9199
Negative: -1 x -16162643-7 x -2308949-251 x -64393-1757 x -9199


How do I find the factor combinations of the number 16,162,643?

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 16,162,643, 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 16,162,643
-1 -16,162,643

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 16,162,643.

Example:
1 x 16,162,643 = 16,162,643
and
-1 x -16,162,643 = 16,162,643
Notice both answers equal 16,162,643

With that explanation out of the way, let's continue. Next, we take the number 16,162,643 and divide it by 2:

16,162,643 ÷ 2 = 8,081,321.5

If the quotient is a whole number, then 2 and 8,081,321.5 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 16,162,643
-1 -16,162,643

Now, we try dividing 16,162,643 by 3:

16,162,643 ÷ 3 = 5,387,547.6667

If the quotient is a whole number, then 3 and 5,387,547.6667 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 16,162,643
-1 -16,162,643

Let's try dividing by 4:

16,162,643 ÷ 4 = 4,040,660.75

If the quotient is a whole number, then 4 and 4,040,660.75 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 16,162,643
-1 16,162,643
Keep dividing by the next highest number until you cannot divide anymore.

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

172511,7579,19964,3932,308,94916,162,643
-1-7-251-1,757-9,199-64,393-2,308,949-16,162,643

More Examples

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