Q: What are the factor combinations of the number 16,651,735?

 A:
Positive:   1 x 166517355 x 3330347229 x 727151145 x 14543
Negative: -1 x -16651735-5 x -3330347-229 x -72715-1145 x -14543


How do I find the factor combinations of the number 16,651,735?

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 16,651,735, 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 16,651,735
-1 -16,651,735

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 16,651,735.

Example:
1 x 16,651,735 = 16,651,735
and
-1 x -16,651,735 = 16,651,735
Notice both answers equal 16,651,735

With that explanation out of the way, let's continue. Next, we take the number 16,651,735 and divide it by 2:

16,651,735 ÷ 2 = 8,325,867.5

If the quotient is a whole number, then 2 and 8,325,867.5 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 16,651,735
-1 -16,651,735

Now, we try dividing 16,651,735 by 3:

16,651,735 ÷ 3 = 5,550,578.3333

If the quotient is a whole number, then 3 and 5,550,578.3333 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 16,651,735
-1 -16,651,735

Let's try dividing by 4:

16,651,735 ÷ 4 = 4,162,933.75

If the quotient is a whole number, then 4 and 4,162,933.75 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 16,651,735
-1 16,651,735
Keep dividing by the next highest number until you cannot divide anymore.

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

152291,14514,54372,7153,330,34716,651,735
-1-5-229-1,145-14,543-72,715-3,330,347-16,651,735

More Examples

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