Q: What are the factor combinations of the number 1,094,765?

 A:
Positive:   1 x 10947655 x 2189537 x 15639531 x 3531535 x 31279155 x 7063217 x 50451009 x 1085
Negative: -1 x -1094765-5 x -218953-7 x -156395-31 x -35315-35 x -31279-155 x -7063-217 x -5045-1009 x -1085


How do I find the factor combinations of the number 1,094,765?

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 1,094,765, 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 1,094,765
-1 -1,094,765

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 1,094,765.

Example:
1 x 1,094,765 = 1,094,765
and
-1 x -1,094,765 = 1,094,765
Notice both answers equal 1,094,765

With that explanation out of the way, let's continue. Next, we take the number 1,094,765 and divide it by 2:

1,094,765 ÷ 2 = 547,382.5

If the quotient is a whole number, then 2 and 547,382.5 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 1,094,765
-1 -1,094,765

Now, we try dividing 1,094,765 by 3:

1,094,765 ÷ 3 = 364,921.6667

If the quotient is a whole number, then 3 and 364,921.6667 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 1,094,765
-1 -1,094,765

Let's try dividing by 4:

1,094,765 ÷ 4 = 273,691.25

If the quotient is a whole number, then 4 and 273,691.25 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 1,094,765
-1 1,094,765
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,0091,0855,0457,06331,27935,315156,395218,9531,094,765
-1-5-7-31-35-155-217-1,009-1,085-5,045-7,063-31,279-35,315-156,395-218,953-1,094,765

More Examples

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