Q: What are the factor combinations of the number 5,266,807?

 A:
Positive:   1 x 52668077 x 75240113 x 40513931 x 16989791 x 57877217 x 24271403 x 130691867 x 2821
Negative: -1 x -5266807-7 x -752401-13 x -405139-31 x -169897-91 x -57877-217 x -24271-403 x -13069-1867 x -2821


How do I find the factor combinations of the number 5,266,807?

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 5,266,807, 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 5,266,807
-1 -5,266,807

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 5,266,807.

Example:
1 x 5,266,807 = 5,266,807
and
-1 x -5,266,807 = 5,266,807
Notice both answers equal 5,266,807

With that explanation out of the way, let's continue. Next, we take the number 5,266,807 and divide it by 2:

5,266,807 ÷ 2 = 2,633,403.5

If the quotient is a whole number, then 2 and 2,633,403.5 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 5,266,807
-1 -5,266,807

Now, we try dividing 5,266,807 by 3:

5,266,807 ÷ 3 = 1,755,602.3333

If the quotient is a whole number, then 3 and 1,755,602.3333 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 5,266,807
-1 -5,266,807

Let's try dividing by 4:

5,266,807 ÷ 4 = 1,316,701.75

If the quotient is a whole number, then 4 and 1,316,701.75 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 5,266,807
-1 5,266,807
Keep dividing by the next highest number until you cannot divide anymore.

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

171331912174031,8672,82113,06924,27157,877169,897405,139752,4015,266,807
-1-7-13-31-91-217-403-1,867-2,821-13,069-24,271-57,877-169,897-405,139-752,401-5,266,807

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,266,807:


Ask a Question