Q: What are the factor combinations of the number 16,077,845?

 A:
Positive:   1 x 160778455 x 32155697 x 229683535 x 459367149 x 107905745 x 215811043 x 154153083 x 5215
Negative: -1 x -16077845-5 x -3215569-7 x -2296835-35 x -459367-149 x -107905-745 x -21581-1043 x -15415-3083 x -5215


How do I find the factor combinations of the number 16,077,845?

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 16,077,845, 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 16,077,845
-1 -16,077,845

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 16,077,845.

Example:
1 x 16,077,845 = 16,077,845
and
-1 x -16,077,845 = 16,077,845
Notice both answers equal 16,077,845

With that explanation out of the way, let's continue. Next, we take the number 16,077,845 and divide it by 2:

16,077,845 ÷ 2 = 8,038,922.5

If the quotient is a whole number, then 2 and 8,038,922.5 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 16,077,845
-1 -16,077,845

Now, we try dividing 16,077,845 by 3:

16,077,845 ÷ 3 = 5,359,281.6667

If the quotient is a whole number, then 3 and 5,359,281.6667 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 16,077,845
-1 -16,077,845

Let's try dividing by 4:

16,077,845 ÷ 4 = 4,019,461.25

If the quotient is a whole number, then 4 and 4,019,461.25 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 16,077,845
-1 16,077,845
Keep dividing by the next highest number until you cannot divide anymore.

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

157351497451,0433,0835,21515,41521,581107,905459,3672,296,8353,215,56916,077,845
-1-5-7-35-149-745-1,043-3,083-5,215-15,415-21,581-107,905-459,367-2,296,835-3,215,569-16,077,845

More Examples

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