Q: What are the factor combinations of the number 1,020,775?

 A:
Positive:   1 x 10207755 x 2041557 x 14582519 x 5372525 x 4083135 x 2916595 x 10745133 x 7675175 x 5833307 x 3325475 x 2149665 x 1535
Negative: -1 x -1020775-5 x -204155-7 x -145825-19 x -53725-25 x -40831-35 x -29165-95 x -10745-133 x -7675-175 x -5833-307 x -3325-475 x -2149-665 x -1535


How do I find the factor combinations of the number 1,020,775?

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 1,020,775, 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 1,020,775
-1 -1,020,775

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 1,020,775.

Example:
1 x 1,020,775 = 1,020,775
and
-1 x -1,020,775 = 1,020,775
Notice both answers equal 1,020,775

With that explanation out of the way, let's continue. Next, we take the number 1,020,775 and divide it by 2:

1,020,775 ÷ 2 = 510,387.5

If the quotient is a whole number, then 2 and 510,387.5 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 1,020,775
-1 -1,020,775

Now, we try dividing 1,020,775 by 3:

1,020,775 ÷ 3 = 340,258.3333

If the quotient is a whole number, then 3 and 340,258.3333 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 1,020,775
-1 -1,020,775

Let's try dividing by 4:

1,020,775 ÷ 4 = 255,193.75

If the quotient is a whole number, then 4 and 255,193.75 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 1,020,775
-1 1,020,775
Keep dividing by the next highest number until you cannot divide anymore.

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

157192535951331753074756651,5352,1493,3255,8337,67510,74529,16540,83153,725145,825204,1551,020,775
-1-5-7-19-25-35-95-133-175-307-475-665-1,535-2,149-3,325-5,833-7,675-10,745-29,165-40,831-53,725-145,825-204,155-1,020,775

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