Q: What are the factor combinations of the number 16,340,645?

 A:
Positive:   1 x 163406455 x 326812943 x 380015215 x 76003
Negative: -1 x -16340645-5 x -3268129-43 x -380015-215 x -76003


How do I find the factor combinations of the number 16,340,645?

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 16,340,645, 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 16,340,645
-1 -16,340,645

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 16,340,645.

Example:
1 x 16,340,645 = 16,340,645
and
-1 x -16,340,645 = 16,340,645
Notice both answers equal 16,340,645

With that explanation out of the way, let's continue. Next, we take the number 16,340,645 and divide it by 2:

16,340,645 ÷ 2 = 8,170,322.5

If the quotient is a whole number, then 2 and 8,170,322.5 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 16,340,645
-1 -16,340,645

Now, we try dividing 16,340,645 by 3:

16,340,645 ÷ 3 = 5,446,881.6667

If the quotient is a whole number, then 3 and 5,446,881.6667 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 16,340,645
-1 -16,340,645

Let's try dividing by 4:

16,340,645 ÷ 4 = 4,085,161.25

If the quotient is a whole number, then 4 and 4,085,161.25 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 16,340,645
-1 16,340,645
Keep dividing by the next highest number until you cannot divide anymore.

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

154321576,003380,0153,268,12916,340,645
-1-5-43-215-76,003-380,015-3,268,129-16,340,645

More Examples

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