Q: What are the factor combinations of the number 42,211,015?

 A:
Positive:   1 x 422110155 x 84422037 x 603014511 x 383736535 x 120602955 x 76747377 x 548195385 x 109639
Negative: -1 x -42211015-5 x -8442203-7 x -6030145-11 x -3837365-35 x -1206029-55 x -767473-77 x -548195-385 x -109639


How do I find the factor combinations of the number 42,211,015?

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 42,211,015, 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 42,211,015
-1 -42,211,015

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 42,211,015.

Example:
1 x 42,211,015 = 42,211,015
and
-1 x -42,211,015 = 42,211,015
Notice both answers equal 42,211,015

With that explanation out of the way, let's continue. Next, we take the number 42,211,015 and divide it by 2:

42,211,015 ÷ 2 = 21,105,507.5

If the quotient is a whole number, then 2 and 21,105,507.5 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 42,211,015
-1 -42,211,015

Now, we try dividing 42,211,015 by 3:

42,211,015 ÷ 3 = 14,070,338.3333

If the quotient is a whole number, then 3 and 14,070,338.3333 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 42,211,015
-1 -42,211,015

Let's try dividing by 4:

42,211,015 ÷ 4 = 10,552,753.75

If the quotient is a whole number, then 4 and 10,552,753.75 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 42,211,015
-1 42,211,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385109,639548,195767,4731,206,0293,837,3656,030,1458,442,20342,211,015
-1-5-7-11-35-55-77-385-109,639-548,195-767,473-1,206,029-3,837,365-6,030,145-8,442,203-42,211,015

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