Q: What are the factor combinations of the number 1,208,075?

 A:
Positive:   1 x 12080755 x 24161511 x 10982523 x 5252525 x 4832355 x 21965115 x 10505191 x 6325253 x 4775275 x 4393575 x 2101955 x 1265
Negative: -1 x -1208075-5 x -241615-11 x -109825-23 x -52525-25 x -48323-55 x -21965-115 x -10505-191 x -6325-253 x -4775-275 x -4393-575 x -2101-955 x -1265


How do I find the factor combinations of the number 1,208,075?

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 1,208,075, 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 1,208,075
-1 -1,208,075

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 1,208,075.

Example:
1 x 1,208,075 = 1,208,075
and
-1 x -1,208,075 = 1,208,075
Notice both answers equal 1,208,075

With that explanation out of the way, let's continue. Next, we take the number 1,208,075 and divide it by 2:

1,208,075 ÷ 2 = 604,037.5

If the quotient is a whole number, then 2 and 604,037.5 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 1,208,075
-1 -1,208,075

Now, we try dividing 1,208,075 by 3:

1,208,075 ÷ 3 = 402,691.6667

If the quotient is a whole number, then 3 and 402,691.6667 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 1,208,075
-1 -1,208,075

Let's try dividing by 4:

1,208,075 ÷ 4 = 302,018.75

If the quotient is a whole number, then 4 and 302,018.75 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 1,208,075
-1 1,208,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15112325551151912532755759551,2652,1014,3934,7756,32510,50521,96548,32352,525109,825241,6151,208,075
-1-5-11-23-25-55-115-191-253-275-575-955-1,265-2,101-4,393-4,775-6,325-10,505-21,965-48,323-52,525-109,825-241,615-1,208,075

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,208,075:


Ask a Question