Q: What are the factor combinations of the number 5,318,651?

 A:
Positive:   1 x 531865113 x 40912719 x 27992961 x 87191247 x 21533353 x 15067793 x 67071159 x 4589
Negative: -1 x -5318651-13 x -409127-19 x -279929-61 x -87191-247 x -21533-353 x -15067-793 x -6707-1159 x -4589


How do I find the factor combinations of the number 5,318,651?

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 5,318,651, 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 5,318,651
-1 -5,318,651

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 5,318,651.

Example:
1 x 5,318,651 = 5,318,651
and
-1 x -5,318,651 = 5,318,651
Notice both answers equal 5,318,651

With that explanation out of the way, let's continue. Next, we take the number 5,318,651 and divide it by 2:

5,318,651 ÷ 2 = 2,659,325.5

If the quotient is a whole number, then 2 and 2,659,325.5 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 5,318,651
-1 -5,318,651

Now, we try dividing 5,318,651 by 3:

5,318,651 ÷ 3 = 1,772,883.6667

If the quotient is a whole number, then 3 and 1,772,883.6667 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 5,318,651
-1 -5,318,651

Let's try dividing by 4:

5,318,651 ÷ 4 = 1,329,662.75

If the quotient is a whole number, then 4 and 1,329,662.75 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 5,318,651
-1 5,318,651
Keep dividing by the next highest number until you cannot divide anymore.

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

11319612473537931,1594,5896,70715,06721,53387,191279,929409,1275,318,651
-1-13-19-61-247-353-793-1,159-4,589-6,707-15,067-21,533-87,191-279,929-409,127-5,318,651

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,318,651:


Ask a Question