Q: What are the factor combinations of the number 16,494,947?

 A:
Positive:   1 x 164949477 x 235642117 x 97029197 x 170051119 x 138613679 x 242931429 x 115431649 x 10003
Negative: -1 x -16494947-7 x -2356421-17 x -970291-97 x -170051-119 x -138613-679 x -24293-1429 x -11543-1649 x -10003


How do I find the factor combinations of the number 16,494,947?

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 16,494,947, 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 16,494,947
-1 -16,494,947

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 16,494,947.

Example:
1 x 16,494,947 = 16,494,947
and
-1 x -16,494,947 = 16,494,947
Notice both answers equal 16,494,947

With that explanation out of the way, let's continue. Next, we take the number 16,494,947 and divide it by 2:

16,494,947 ÷ 2 = 8,247,473.5

If the quotient is a whole number, then 2 and 8,247,473.5 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 16,494,947
-1 -16,494,947

Now, we try dividing 16,494,947 by 3:

16,494,947 ÷ 3 = 5,498,315.6667

If the quotient is a whole number, then 3 and 5,498,315.6667 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 16,494,947
-1 -16,494,947

Let's try dividing by 4:

16,494,947 ÷ 4 = 4,123,736.75

If the quotient is a whole number, then 4 and 4,123,736.75 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 16,494,947
-1 16,494,947
Keep dividing by the next highest number until you cannot divide anymore.

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

1717971196791,4291,64910,00311,54324,293138,613170,051970,2912,356,42116,494,947
-1-7-17-97-119-679-1,429-1,649-10,003-11,543-24,293-138,613-170,051-970,291-2,356,421-16,494,947

More Examples

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