Q: What are the factor combinations of the number 1,075,025?

 A:
Positive:   1 x 10750255 x 2150057 x 15357525 x 4300135 x 30715175 x 6143
Negative: -1 x -1075025-5 x -215005-7 x -153575-25 x -43001-35 x -30715-175 x -6143


How do I find the factor combinations of the number 1,075,025?

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 1,075,025, 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 1,075,025
-1 -1,075,025

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 1,075,025.

Example:
1 x 1,075,025 = 1,075,025
and
-1 x -1,075,025 = 1,075,025
Notice both answers equal 1,075,025

With that explanation out of the way, let's continue. Next, we take the number 1,075,025 and divide it by 2:

1,075,025 ÷ 2 = 537,512.5

If the quotient is a whole number, then 2 and 537,512.5 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 1,075,025
-1 -1,075,025

Now, we try dividing 1,075,025 by 3:

1,075,025 ÷ 3 = 358,341.6667

If the quotient is a whole number, then 3 and 358,341.6667 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 1,075,025
-1 -1,075,025

Let's try dividing by 4:

1,075,025 ÷ 4 = 268,756.25

If the quotient is a whole number, then 4 and 268,756.25 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 1,075,025
-1 1,075,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351756,14330,71543,001153,575215,0051,075,025
-1-5-7-25-35-175-6,143-30,715-43,001-153,575-215,005-1,075,025

More Examples

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