Q: What are the factor combinations of the number 1,077,625?

 A:
Positive:   1 x 10776255 x 21552525 x 4310537 x 29125125 x 8621185 x 5825233 x 4625925 x 1165
Negative: -1 x -1077625-5 x -215525-25 x -43105-37 x -29125-125 x -8621-185 x -5825-233 x -4625-925 x -1165


How do I find the factor combinations of the number 1,077,625?

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 1,077,625, 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 1,077,625
-1 -1,077,625

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 1,077,625.

Example:
1 x 1,077,625 = 1,077,625
and
-1 x -1,077,625 = 1,077,625
Notice both answers equal 1,077,625

With that explanation out of the way, let's continue. Next, we take the number 1,077,625 and divide it by 2:

1,077,625 ÷ 2 = 538,812.5

If the quotient is a whole number, then 2 and 538,812.5 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 1,077,625
-1 -1,077,625

Now, we try dividing 1,077,625 by 3:

1,077,625 ÷ 3 = 359,208.3333

If the quotient is a whole number, then 3 and 359,208.3333 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 1,077,625
-1 -1,077,625

Let's try dividing by 4:

1,077,625 ÷ 4 = 269,406.25

If the quotient is a whole number, then 4 and 269,406.25 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 1,077,625
-1 1,077,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525371251852339251,1654,6255,8258,62129,12543,105215,5251,077,625
-1-5-25-37-125-185-233-925-1,165-4,625-5,825-8,621-29,125-43,105-215,525-1,077,625

More Examples

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