Q: What are the factor combinations of the number 28,909,027?

 A:
Positive:   1 x 289090277 x 412986117 x 170053129 x 996863119 x 242933203 x 142409493 x 586393451 x 8377
Negative: -1 x -28909027-7 x -4129861-17 x -1700531-29 x -996863-119 x -242933-203 x -142409-493 x -58639-3451 x -8377


How do I find the factor combinations of the number 28,909,027?

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 28,909,027, 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 28,909,027
-1 -28,909,027

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 28,909,027.

Example:
1 x 28,909,027 = 28,909,027
and
-1 x -28,909,027 = 28,909,027
Notice both answers equal 28,909,027

With that explanation out of the way, let's continue. Next, we take the number 28,909,027 and divide it by 2:

28,909,027 ÷ 2 = 14,454,513.5

If the quotient is a whole number, then 2 and 14,454,513.5 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 28,909,027
-1 -28,909,027

Now, we try dividing 28,909,027 by 3:

28,909,027 ÷ 3 = 9,636,342.3333

If the quotient is a whole number, then 3 and 9,636,342.3333 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 28,909,027
-1 -28,909,027

Let's try dividing by 4:

28,909,027 ÷ 4 = 7,227,256.75

If the quotient is a whole number, then 4 and 7,227,256.75 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 28,909,027
-1 28,909,027
Keep dividing by the next highest number until you cannot divide anymore.

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

1717291192034933,4518,37758,639142,409242,933996,8631,700,5314,129,86128,909,027
-1-7-17-29-119-203-493-3,451-8,377-58,639-142,409-242,933-996,863-1,700,531-4,129,861-28,909,027

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 28,909,027:


Ask a Question