Q: What are the factor combinations of the number 10,422,815?

 A:
Positive:   1 x 104228155 x 208456313 x 80175541 x 25421565 x 160351205 x 50843533 x 195552665 x 3911
Negative: -1 x -10422815-5 x -2084563-13 x -801755-41 x -254215-65 x -160351-205 x -50843-533 x -19555-2665 x -3911


How do I find the factor combinations of the number 10,422,815?

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 10,422,815, 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 10,422,815
-1 -10,422,815

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 10,422,815.

Example:
1 x 10,422,815 = 10,422,815
and
-1 x -10,422,815 = 10,422,815
Notice both answers equal 10,422,815

With that explanation out of the way, let's continue. Next, we take the number 10,422,815 and divide it by 2:

10,422,815 ÷ 2 = 5,211,407.5

If the quotient is a whole number, then 2 and 5,211,407.5 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 10,422,815
-1 -10,422,815

Now, we try dividing 10,422,815 by 3:

10,422,815 ÷ 3 = 3,474,271.6667

If the quotient is a whole number, then 3 and 3,474,271.6667 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 10,422,815
-1 -10,422,815

Let's try dividing by 4:

10,422,815 ÷ 4 = 2,605,703.75

If the quotient is a whole number, then 4 and 2,605,703.75 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 10,422,815
-1 10,422,815
Keep dividing by the next highest number until you cannot divide anymore.

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

151341652055332,6653,91119,55550,843160,351254,215801,7552,084,56310,422,815
-1-5-13-41-65-205-533-2,665-3,911-19,555-50,843-160,351-254,215-801,755-2,084,563-10,422,815

More Examples

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