Q: What are the factor combinations of the number 4,020,775?

 A:
Positive:   1 x 40207755 x 80415511 x 36552525 x 16083155 x 73105275 x 14621
Negative: -1 x -4020775-5 x -804155-11 x -365525-25 x -160831-55 x -73105-275 x -14621


How do I find the factor combinations of the number 4,020,775?

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 4,020,775, 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 4,020,775
-1 -4,020,775

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 4,020,775.

Example:
1 x 4,020,775 = 4,020,775
and
-1 x -4,020,775 = 4,020,775
Notice both answers equal 4,020,775

With that explanation out of the way, let's continue. Next, we take the number 4,020,775 and divide it by 2:

4,020,775 ÷ 2 = 2,010,387.5

If the quotient is a whole number, then 2 and 2,010,387.5 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 4,020,775
-1 -4,020,775

Now, we try dividing 4,020,775 by 3:

4,020,775 ÷ 3 = 1,340,258.3333

If the quotient is a whole number, then 3 and 1,340,258.3333 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 4,020,775
-1 -4,020,775

Let's try dividing by 4:

4,020,775 ÷ 4 = 1,005,193.75

If the quotient is a whole number, then 4 and 1,005,193.75 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 4,020,775
-1 4,020,775
Keep dividing by the next highest number until you cannot divide anymore.

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

1511255527514,62173,105160,831365,525804,1554,020,775
-1-5-11-25-55-275-14,621-73,105-160,831-365,525-804,155-4,020,775

More Examples

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