Q: What are the factor combinations of the number 13,020,775?

 A:
Positive:   1 x 130207755 x 260415525 x 52083131 x 42002553 x 245675155 x 84005265 x 49135317 x 41075775 x 168011325 x 98271585 x 82151643 x 7925
Negative: -1 x -13020775-5 x -2604155-25 x -520831-31 x -420025-53 x -245675-155 x -84005-265 x -49135-317 x -41075-775 x -16801-1325 x -9827-1585 x -8215-1643 x -7925


How do I find the factor combinations of the number 13,020,775?

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 13,020,775, 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 13,020,775
-1 -13,020,775

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 13,020,775.

Example:
1 x 13,020,775 = 13,020,775
and
-1 x -13,020,775 = 13,020,775
Notice both answers equal 13,020,775

With that explanation out of the way, let's continue. Next, we take the number 13,020,775 and divide it by 2:

13,020,775 ÷ 2 = 6,510,387.5

If the quotient is a whole number, then 2 and 6,510,387.5 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 13,020,775
-1 -13,020,775

Now, we try dividing 13,020,775 by 3:

13,020,775 ÷ 3 = 4,340,258.3333

If the quotient is a whole number, then 3 and 4,340,258.3333 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 13,020,775
-1 -13,020,775

Let's try dividing by 4:

13,020,775 ÷ 4 = 3,255,193.75

If the quotient is a whole number, then 4 and 3,255,193.75 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 13,020,775
-1 13,020,775
Keep dividing by the next highest number until you cannot divide anymore.

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

152531531552653177751,3251,5851,6437,9258,2159,82716,80141,07549,13584,005245,675420,025520,8312,604,15513,020,775
-1-5-25-31-53-155-265-317-775-1,325-1,585-1,643-7,925-8,215-9,827-16,801-41,075-49,135-84,005-245,675-420,025-520,831-2,604,155-13,020,775

More Examples

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