Q: What are the factor combinations of the number 8,436,037?

 A:
Positive:   1 x 843603737 x 22800141 x 20575767 x 12591183 x 1016391517 x 55612479 x 34032747 x 3071
Negative: -1 x -8436037-37 x -228001-41 x -205757-67 x -125911-83 x -101639-1517 x -5561-2479 x -3403-2747 x -3071


How do I find the factor combinations of the number 8,436,037?

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 8,436,037, 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 8,436,037
-1 -8,436,037

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 8,436,037.

Example:
1 x 8,436,037 = 8,436,037
and
-1 x -8,436,037 = 8,436,037
Notice both answers equal 8,436,037

With that explanation out of the way, let's continue. Next, we take the number 8,436,037 and divide it by 2:

8,436,037 ÷ 2 = 4,218,018.5

If the quotient is a whole number, then 2 and 4,218,018.5 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 8,436,037
-1 -8,436,037

Now, we try dividing 8,436,037 by 3:

8,436,037 ÷ 3 = 2,812,012.3333

If the quotient is a whole number, then 3 and 2,812,012.3333 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 8,436,037
-1 -8,436,037

Let's try dividing by 4:

8,436,037 ÷ 4 = 2,109,009.25

If the quotient is a whole number, then 4 and 2,109,009.25 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 8,436,037
-1 8,436,037
Keep dividing by the next highest number until you cannot divide anymore.

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

1374167831,5172,4792,7473,0713,4035,561101,639125,911205,757228,0018,436,037
-1-37-41-67-83-1,517-2,479-2,747-3,071-3,403-5,561-101,639-125,911-205,757-228,001-8,436,037

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