Q: What are the factor combinations of the number 201,160,531?

 A:
Positive:   1 x 20116053111 x 1828732113 x 15473887143 x 1406717169 x 1190299241 x 834691449 x 4480191859 x 1082092651 x 758813133 x 642074939 x 407295837 x 34463
Negative: -1 x -201160531-11 x -18287321-13 x -15473887-143 x -1406717-169 x -1190299-241 x -834691-449 x -448019-1859 x -108209-2651 x -75881-3133 x -64207-4939 x -40729-5837 x -34463


How do I find the factor combinations of the number 201,160,531?

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 201,160,531, 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.

1 201,160,531
-1 -201,160,531

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 201,160,531.

Example:
1 x 201,160,531 = 201,160,531
and
-1 x -201,160,531 = 201,160,531
Notice both answers equal 201,160,531

With that explanation out of the way, let's continue. Next, we take the number 201,160,531 and divide it by 2:

201,160,531 ÷ 2 = 100,580,265.5

If the quotient is a whole number, then 2 and 100,580,265.5 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:

1 201,160,531
-1 -201,160,531

Now, we try dividing 201,160,531 by 3:

201,160,531 ÷ 3 = 67,053,510.3333

If the quotient is a whole number, then 3 and 67,053,510.3333 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:

1 201,160,531
-1 -201,160,531

Let's try dividing by 4:

201,160,531 ÷ 4 = 50,290,132.75

If the quotient is a whole number, then 4 and 50,290,132.75 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:

1 201,160,531
-1 201,160,531
Keep dividing by the next highest number until you cannot divide anymore.

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

111131431692414491,8592,6513,1334,9395,83734,46340,72964,20775,881108,209448,019834,6911,190,2991,406,71715,473,88718,287,321201,160,531
-1-11-13-143-169-241-449-1,859-2,651-3,133-4,939-5,837-34,463-40,729-64,207-75,881-108,209-448,019-834,691-1,190,299-1,406,717-15,473,887-18,287,321-201,160,531

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 201,160,531:


Ask a Question