Q: What are the factor combinations of the number 1,260,745?

 A:
Positive:   1 x 12607455 x 25214919 x 6635523 x 5481595 x 13271115 x 10963437 x 2885577 x 2185
Negative: -1 x -1260745-5 x -252149-19 x -66355-23 x -54815-95 x -13271-115 x -10963-437 x -2885-577 x -2185


How do I find the factor combinations of the number 1,260,745?

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 1,260,745, 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 1,260,745
-1 -1,260,745

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 1,260,745.

Example:
1 x 1,260,745 = 1,260,745
and
-1 x -1,260,745 = 1,260,745
Notice both answers equal 1,260,745

With that explanation out of the way, let's continue. Next, we take the number 1,260,745 and divide it by 2:

1,260,745 ÷ 2 = 630,372.5

If the quotient is a whole number, then 2 and 630,372.5 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 1,260,745
-1 -1,260,745

Now, we try dividing 1,260,745 by 3:

1,260,745 ÷ 3 = 420,248.3333

If the quotient is a whole number, then 3 and 420,248.3333 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 1,260,745
-1 -1,260,745

Let's try dividing by 4:

1,260,745 ÷ 4 = 315,186.25

If the quotient is a whole number, then 4 and 315,186.25 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 1,260,745
-1 1,260,745
Keep dividing by the next highest number until you cannot divide anymore.

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

151923951154375772,1852,88510,96313,27154,81566,355252,1491,260,745
-1-5-19-23-95-115-437-577-2,185-2,885-10,963-13,271-54,815-66,355-252,149-1,260,745

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,260,745:


Ask a Question