Q: What are the factor combinations of the number 28,008,035?

 A:
Positive:   1 x 280080355 x 560160711 x 254618531 x 90348555 x 509237155 x 180697341 x 821351705 x 16427
Negative: -1 x -28008035-5 x -5601607-11 x -2546185-31 x -903485-55 x -509237-155 x -180697-341 x -82135-1705 x -16427


How do I find the factor combinations of the number 28,008,035?

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 28,008,035, 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 28,008,035
-1 -28,008,035

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 28,008,035.

Example:
1 x 28,008,035 = 28,008,035
and
-1 x -28,008,035 = 28,008,035
Notice both answers equal 28,008,035

With that explanation out of the way, let's continue. Next, we take the number 28,008,035 and divide it by 2:

28,008,035 ÷ 2 = 14,004,017.5

If the quotient is a whole number, then 2 and 14,004,017.5 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 28,008,035
-1 -28,008,035

Now, we try dividing 28,008,035 by 3:

28,008,035 ÷ 3 = 9,336,011.6667

If the quotient is a whole number, then 3 and 9,336,011.6667 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 28,008,035
-1 -28,008,035

Let's try dividing by 4:

28,008,035 ÷ 4 = 7,002,008.75

If the quotient is a whole number, then 4 and 7,002,008.75 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 28,008,035
-1 28,008,035
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,70516,42782,135180,697509,237903,4852,546,1855,601,60728,008,035
-1-5-11-31-55-155-341-1,705-16,427-82,135-180,697-509,237-903,485-2,546,185-5,601,607-28,008,035

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 28,008,035:


Ask a Question