Q: What are the factor combinations of the number 1,075,375?

 A:
Positive:   1 x 10753755 x 2150757 x 15362525 x 4301535 x 30725125 x 8603175 x 6145875 x 1229
Negative: -1 x -1075375-5 x -215075-7 x -153625-25 x -43015-35 x -30725-125 x -8603-175 x -6145-875 x -1229


How do I find the factor combinations of the number 1,075,375?

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 1,075,375, 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 1,075,375
-1 -1,075,375

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 1,075,375.

Example:
1 x 1,075,375 = 1,075,375
and
-1 x -1,075,375 = 1,075,375
Notice both answers equal 1,075,375

With that explanation out of the way, let's continue. Next, we take the number 1,075,375 and divide it by 2:

1,075,375 ÷ 2 = 537,687.5

If the quotient is a whole number, then 2 and 537,687.5 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 1,075,375
-1 -1,075,375

Now, we try dividing 1,075,375 by 3:

1,075,375 ÷ 3 = 358,458.3333

If the quotient is a whole number, then 3 and 358,458.3333 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 1,075,375
-1 -1,075,375

Let's try dividing by 4:

1,075,375 ÷ 4 = 268,843.75

If the quotient is a whole number, then 4 and 268,843.75 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 1,075,375
-1 1,075,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351251758751,2296,1458,60330,72543,015153,625215,0751,075,375
-1-5-7-25-35-125-175-875-1,229-6,145-8,603-30,725-43,015-153,625-215,075-1,075,375

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,075,375:


Ask a Question