Q: What are the factor combinations of the number 1,340,675?

 A:
Positive:   1 x 13406755 x 2681357 x 19152525 x 5362735 x 3830547 x 28525163 x 8225175 x 7661235 x 5705329 x 4075815 x 16451141 x 1175
Negative: -1 x -1340675-5 x -268135-7 x -191525-25 x -53627-35 x -38305-47 x -28525-163 x -8225-175 x -7661-235 x -5705-329 x -4075-815 x -1645-1141 x -1175


How do I find the factor combinations of the number 1,340,675?

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 1,340,675, 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 1,340,675
-1 -1,340,675

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 1,340,675.

Example:
1 x 1,340,675 = 1,340,675
and
-1 x -1,340,675 = 1,340,675
Notice both answers equal 1,340,675

With that explanation out of the way, let's continue. Next, we take the number 1,340,675 and divide it by 2:

1,340,675 ÷ 2 = 670,337.5

If the quotient is a whole number, then 2 and 670,337.5 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 1,340,675
-1 -1,340,675

Now, we try dividing 1,340,675 by 3:

1,340,675 ÷ 3 = 446,891.6667

If the quotient is a whole number, then 3 and 446,891.6667 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 1,340,675
-1 -1,340,675

Let's try dividing by 4:

1,340,675 ÷ 4 = 335,168.75

If the quotient is a whole number, then 4 and 335,168.75 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 1,340,675
-1 1,340,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535471631752353298151,1411,1751,6454,0755,7057,6618,22528,52538,30553,627191,525268,1351,340,675
-1-5-7-25-35-47-163-175-235-329-815-1,141-1,175-1,645-4,075-5,705-7,661-8,225-28,525-38,305-53,627-191,525-268,135-1,340,675

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,340,675:


Ask a Question