Q: What are the factor combinations of the number 28,231,427?

 A:
Positive:   1 x 282314277 x 4033061521 x 541873647 x 7741
Negative: -1 x -28231427-7 x -4033061-521 x -54187-3647 x -7741


How do I find the factor combinations of the number 28,231,427?

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 28,231,427, 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 28,231,427
-1 -28,231,427

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 28,231,427.

Example:
1 x 28,231,427 = 28,231,427
and
-1 x -28,231,427 = 28,231,427
Notice both answers equal 28,231,427

With that explanation out of the way, let's continue. Next, we take the number 28,231,427 and divide it by 2:

28,231,427 ÷ 2 = 14,115,713.5

If the quotient is a whole number, then 2 and 14,115,713.5 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 28,231,427
-1 -28,231,427

Now, we try dividing 28,231,427 by 3:

28,231,427 ÷ 3 = 9,410,475.6667

If the quotient is a whole number, then 3 and 9,410,475.6667 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 28,231,427
-1 -28,231,427

Let's try dividing by 4:

28,231,427 ÷ 4 = 7,057,856.75

If the quotient is a whole number, then 4 and 7,057,856.75 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 28,231,427
-1 28,231,427
Keep dividing by the next highest number until you cannot divide anymore.

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

175213,6477,74154,1874,033,06128,231,427
-1-7-521-3,647-7,741-54,187-4,033,061-28,231,427

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 28,231,427:


Ask a Question