Q: What are the factor combinations of the number 36,351,799?

 A:
Positive:   1 x 3635179911 x 330470923 x 158051353 x 685883253 x 143683583 x 623531219 x 298212711 x 13409
Negative: -1 x -36351799-11 x -3304709-23 x -1580513-53 x -685883-253 x -143683-583 x -62353-1219 x -29821-2711 x -13409


How do I find the factor combinations of the number 36,351,799?

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 36,351,799, 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 36,351,799
-1 -36,351,799

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 36,351,799.

Example:
1 x 36,351,799 = 36,351,799
and
-1 x -36,351,799 = 36,351,799
Notice both answers equal 36,351,799

With that explanation out of the way, let's continue. Next, we take the number 36,351,799 and divide it by 2:

36,351,799 ÷ 2 = 18,175,899.5

If the quotient is a whole number, then 2 and 18,175,899.5 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 36,351,799
-1 -36,351,799

Now, we try dividing 36,351,799 by 3:

36,351,799 ÷ 3 = 12,117,266.3333

If the quotient is a whole number, then 3 and 12,117,266.3333 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 36,351,799
-1 -36,351,799

Let's try dividing by 4:

36,351,799 ÷ 4 = 9,087,949.75

If the quotient is a whole number, then 4 and 9,087,949.75 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 36,351,799
-1 36,351,799
Keep dividing by the next highest number until you cannot divide anymore.

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

11123532535831,2192,71113,40929,82162,353143,683685,8831,580,5133,304,70936,351,799
-1-11-23-53-253-583-1,219-2,711-13,409-29,821-62,353-143,683-685,883-1,580,513-3,304,709-36,351,799

More Examples

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