Q: What are the factor combinations of the number 1,298,759?

 A:
Positive:   1 x 12987597 x 18553711 x 11806977 x 16867101 x 12859167 x 7777707 x 18371111 x 1169
Negative: -1 x -1298759-7 x -185537-11 x -118069-77 x -16867-101 x -12859-167 x -7777-707 x -1837-1111 x -1169


How do I find the factor combinations of the number 1,298,759?

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 1,298,759, 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 1,298,759
-1 -1,298,759

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 1,298,759.

Example:
1 x 1,298,759 = 1,298,759
and
-1 x -1,298,759 = 1,298,759
Notice both answers equal 1,298,759

With that explanation out of the way, let's continue. Next, we take the number 1,298,759 and divide it by 2:

1,298,759 ÷ 2 = 649,379.5

If the quotient is a whole number, then 2 and 649,379.5 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 1,298,759
-1 -1,298,759

Now, we try dividing 1,298,759 by 3:

1,298,759 ÷ 3 = 432,919.6667

If the quotient is a whole number, then 3 and 432,919.6667 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 1,298,759
-1 -1,298,759

Let's try dividing by 4:

1,298,759 ÷ 4 = 324,689.75

If the quotient is a whole number, then 4 and 324,689.75 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 1,298,759
-1 1,298,759
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771011677071,1111,1691,8377,77712,85916,867118,069185,5371,298,759
-1-7-11-77-101-167-707-1,111-1,169-1,837-7,777-12,859-16,867-118,069-185,537-1,298,759

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,298,759:


Ask a Question