Q: What are the factor combinations of the number 5,267,339?

 A:
Positive:   1 x 52673397 x 75247711 x 47884967 x 7861777 x 68407469 x 11231737 x 71471021 x 5159
Negative: -1 x -5267339-7 x -752477-11 x -478849-67 x -78617-77 x -68407-469 x -11231-737 x -7147-1021 x -5159


How do I find the factor combinations of the number 5,267,339?

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 5,267,339, 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 5,267,339
-1 -5,267,339

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 5,267,339.

Example:
1 x 5,267,339 = 5,267,339
and
-1 x -5,267,339 = 5,267,339
Notice both answers equal 5,267,339

With that explanation out of the way, let's continue. Next, we take the number 5,267,339 and divide it by 2:

5,267,339 ÷ 2 = 2,633,669.5

If the quotient is a whole number, then 2 and 2,633,669.5 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 5,267,339
-1 -5,267,339

Now, we try dividing 5,267,339 by 3:

5,267,339 ÷ 3 = 1,755,779.6667

If the quotient is a whole number, then 3 and 1,755,779.6667 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 5,267,339
-1 -5,267,339

Let's try dividing by 4:

5,267,339 ÷ 4 = 1,316,834.75

If the quotient is a whole number, then 4 and 1,316,834.75 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 5,267,339
-1 5,267,339
Keep dividing by the next highest number until you cannot divide anymore.

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

171167774697371,0215,1597,14711,23168,40778,617478,849752,4775,267,339
-1-7-11-67-77-469-737-1,021-5,159-7,147-11,231-68,407-78,617-478,849-752,477-5,267,339

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,267,339:


Ask a Question