Q: What are the factor combinations of the number 20,160,151?

 A:
Positive:   1 x 2016015111 x 183274141 x 491711451 x 44701
Negative: -1 x -20160151-11 x -1832741-41 x -491711-451 x -44701


How do I find the factor combinations of the number 20,160,151?

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 20,160,151, 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 20,160,151
-1 -20,160,151

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 20,160,151.

Example:
1 x 20,160,151 = 20,160,151
and
-1 x -20,160,151 = 20,160,151
Notice both answers equal 20,160,151

With that explanation out of the way, let's continue. Next, we take the number 20,160,151 and divide it by 2:

20,160,151 ÷ 2 = 10,080,075.5

If the quotient is a whole number, then 2 and 10,080,075.5 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 20,160,151
-1 -20,160,151

Now, we try dividing 20,160,151 by 3:

20,160,151 ÷ 3 = 6,720,050.3333

If the quotient is a whole number, then 3 and 6,720,050.3333 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 20,160,151
-1 -20,160,151

Let's try dividing by 4:

20,160,151 ÷ 4 = 5,040,037.75

If the quotient is a whole number, then 4 and 5,040,037.75 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 20,160,151
-1 20,160,151
Keep dividing by the next highest number until you cannot divide anymore.

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

1114145144,701491,7111,832,74120,160,151
-1-11-41-451-44,701-491,711-1,832,741-20,160,151

More Examples

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