Q: What are the factor combinations of the number 10,642,055?

 A:
Positive:   1 x 106420555 x 2128411463 x 229852315 x 4597
Negative: -1 x -10642055-5 x -2128411-463 x -22985-2315 x -4597


How do I find the factor combinations of the number 10,642,055?

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 10,642,055, 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 10,642,055
-1 -10,642,055

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 10,642,055.

Example:
1 x 10,642,055 = 10,642,055
and
-1 x -10,642,055 = 10,642,055
Notice both answers equal 10,642,055

With that explanation out of the way, let's continue. Next, we take the number 10,642,055 and divide it by 2:

10,642,055 ÷ 2 = 5,321,027.5

If the quotient is a whole number, then 2 and 5,321,027.5 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 10,642,055
-1 -10,642,055

Now, we try dividing 10,642,055 by 3:

10,642,055 ÷ 3 = 3,547,351.6667

If the quotient is a whole number, then 3 and 3,547,351.6667 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 10,642,055
-1 -10,642,055

Let's try dividing by 4:

10,642,055 ÷ 4 = 2,660,513.75

If the quotient is a whole number, then 4 and 2,660,513.75 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 10,642,055
-1 10,642,055
Keep dividing by the next highest number until you cannot divide anymore.

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

154632,3154,59722,9852,128,41110,642,055
-1-5-463-2,315-4,597-22,985-2,128,411-10,642,055

More Examples

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