Q: What are the factor combinations of the number 1,516,879?

 A:
Positive:   1 x 15168797 x 21669713 x 11668379 x 1920191 x 16669211 x 7189553 x 27431027 x 1477
Negative: -1 x -1516879-7 x -216697-13 x -116683-79 x -19201-91 x -16669-211 x -7189-553 x -2743-1027 x -1477


How do I find the factor combinations of the number 1,516,879?

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 1,516,879, 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 1,516,879
-1 -1,516,879

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 1,516,879.

Example:
1 x 1,516,879 = 1,516,879
and
-1 x -1,516,879 = 1,516,879
Notice both answers equal 1,516,879

With that explanation out of the way, let's continue. Next, we take the number 1,516,879 and divide it by 2:

1,516,879 ÷ 2 = 758,439.5

If the quotient is a whole number, then 2 and 758,439.5 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 1,516,879
-1 -1,516,879

Now, we try dividing 1,516,879 by 3:

1,516,879 ÷ 3 = 505,626.3333

If the quotient is a whole number, then 3 and 505,626.3333 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 1,516,879
-1 -1,516,879

Let's try dividing by 4:

1,516,879 ÷ 4 = 379,219.75

If the quotient is a whole number, then 4 and 379,219.75 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 1,516,879
-1 1,516,879
Keep dividing by the next highest number until you cannot divide anymore.

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

171379912115531,0271,4772,7437,18916,66919,201116,683216,6971,516,879
-1-7-13-79-91-211-553-1,027-1,477-2,743-7,189-16,669-19,201-116,683-216,697-1,516,879

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,516,879:


Ask a Question