Q: What are the factor combinations of the number 28,677,313?

 A:
Positive:   1 x 286773137 x 409675989 x 322217191 x 150143241 x 118993623 x 460311337 x 214491687 x 16999
Negative: -1 x -28677313-7 x -4096759-89 x -322217-191 x -150143-241 x -118993-623 x -46031-1337 x -21449-1687 x -16999


How do I find the factor combinations of the number 28,677,313?

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 28,677,313, 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 28,677,313
-1 -28,677,313

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 28,677,313.

Example:
1 x 28,677,313 = 28,677,313
and
-1 x -28,677,313 = 28,677,313
Notice both answers equal 28,677,313

With that explanation out of the way, let's continue. Next, we take the number 28,677,313 and divide it by 2:

28,677,313 ÷ 2 = 14,338,656.5

If the quotient is a whole number, then 2 and 14,338,656.5 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 28,677,313
-1 -28,677,313

Now, we try dividing 28,677,313 by 3:

28,677,313 ÷ 3 = 9,559,104.3333

If the quotient is a whole number, then 3 and 9,559,104.3333 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 28,677,313
-1 -28,677,313

Let's try dividing by 4:

28,677,313 ÷ 4 = 7,169,328.25

If the quotient is a whole number, then 4 and 7,169,328.25 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 28,677,313
-1 28,677,313
Keep dividing by the next highest number until you cannot divide anymore.

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

17891912416231,3371,68716,99921,44946,031118,993150,143322,2174,096,75928,677,313
-1-7-89-191-241-623-1,337-1,687-16,999-21,449-46,031-118,993-150,143-322,217-4,096,759-28,677,313

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 28,677,313:


Ask a Question