Q: What are the factor combinations of the number 16,201,055?

 A:
Positive:   1 x 162010555 x 324021113 x 124623565 x 249247281 x 57655887 x 182651405 x 115313653 x 4435
Negative: -1 x -16201055-5 x -3240211-13 x -1246235-65 x -249247-281 x -57655-887 x -18265-1405 x -11531-3653 x -4435


How do I find the factor combinations of the number 16,201,055?

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 16,201,055, 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 16,201,055
-1 -16,201,055

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 16,201,055.

Example:
1 x 16,201,055 = 16,201,055
and
-1 x -16,201,055 = 16,201,055
Notice both answers equal 16,201,055

With that explanation out of the way, let's continue. Next, we take the number 16,201,055 and divide it by 2:

16,201,055 ÷ 2 = 8,100,527.5

If the quotient is a whole number, then 2 and 8,100,527.5 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 16,201,055
-1 -16,201,055

Now, we try dividing 16,201,055 by 3:

16,201,055 ÷ 3 = 5,400,351.6667

If the quotient is a whole number, then 3 and 5,400,351.6667 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 16,201,055
-1 -16,201,055

Let's try dividing by 4:

16,201,055 ÷ 4 = 4,050,263.75

If the quotient is a whole number, then 4 and 4,050,263.75 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 16,201,055
-1 16,201,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652818871,4053,6534,43511,53118,26557,655249,2471,246,2353,240,21116,201,055
-1-5-13-65-281-887-1,405-3,653-4,435-11,531-18,265-57,655-249,247-1,246,235-3,240,211-16,201,055

More Examples

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