Q: What are the factor combinations of the number 21,660,155?

 A:
Positive:   1 x 216601555 x 433203111 x 196910555 x 393821199 x 108845995 x 217691979 x 109452189 x 9895
Negative: -1 x -21660155-5 x -4332031-11 x -1969105-55 x -393821-199 x -108845-995 x -21769-1979 x -10945-2189 x -9895


How do I find the factor combinations of the number 21,660,155?

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 21,660,155, 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 21,660,155
-1 -21,660,155

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 21,660,155.

Example:
1 x 21,660,155 = 21,660,155
and
-1 x -21,660,155 = 21,660,155
Notice both answers equal 21,660,155

With that explanation out of the way, let's continue. Next, we take the number 21,660,155 and divide it by 2:

21,660,155 ÷ 2 = 10,830,077.5

If the quotient is a whole number, then 2 and 10,830,077.5 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 21,660,155
-1 -21,660,155

Now, we try dividing 21,660,155 by 3:

21,660,155 ÷ 3 = 7,220,051.6667

If the quotient is a whole number, then 3 and 7,220,051.6667 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 21,660,155
-1 -21,660,155

Let's try dividing by 4:

21,660,155 ÷ 4 = 5,415,038.75

If the quotient is a whole number, then 4 and 5,415,038.75 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 21,660,155
-1 21,660,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551999951,9792,1899,89510,94521,769108,845393,8211,969,1054,332,03121,660,155
-1-5-11-55-199-995-1,979-2,189-9,895-10,945-21,769-108,845-393,821-1,969,105-4,332,031-21,660,155

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