Q: What are the factor combinations of the number 1,084,025?

 A:
Positive:   1 x 10840255 x 21680525 x 43361131 x 8275331 x 3275655 x 1655
Negative: -1 x -1084025-5 x -216805-25 x -43361-131 x -8275-331 x -3275-655 x -1655


How do I find the factor combinations of the number 1,084,025?

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 1,084,025, 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 1,084,025
-1 -1,084,025

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 1,084,025.

Example:
1 x 1,084,025 = 1,084,025
and
-1 x -1,084,025 = 1,084,025
Notice both answers equal 1,084,025

With that explanation out of the way, let's continue. Next, we take the number 1,084,025 and divide it by 2:

1,084,025 ÷ 2 = 542,012.5

If the quotient is a whole number, then 2 and 542,012.5 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 1,084,025
-1 -1,084,025

Now, we try dividing 1,084,025 by 3:

1,084,025 ÷ 3 = 361,341.6667

If the quotient is a whole number, then 3 and 361,341.6667 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 1,084,025
-1 -1,084,025

Let's try dividing by 4:

1,084,025 ÷ 4 = 271,006.25

If the quotient is a whole number, then 4 and 271,006.25 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 1,084,025
-1 1,084,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15251313316551,6553,2758,27543,361216,8051,084,025
-1-5-25-131-331-655-1,655-3,275-8,275-43,361-216,805-1,084,025

More Examples

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