Q: What are the factor combinations of the number 36,882,629?

 A:
Positive:   1 x 368826297 x 526894719 x 194119167 x 550487133 x 277313469 x 786411273 x 289734139 x 8911
Negative: -1 x -36882629-7 x -5268947-19 x -1941191-67 x -550487-133 x -277313-469 x -78641-1273 x -28973-4139 x -8911


How do I find the factor combinations of the number 36,882,629?

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 36,882,629, 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 36,882,629
-1 -36,882,629

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 36,882,629.

Example:
1 x 36,882,629 = 36,882,629
and
-1 x -36,882,629 = 36,882,629
Notice both answers equal 36,882,629

With that explanation out of the way, let's continue. Next, we take the number 36,882,629 and divide it by 2:

36,882,629 ÷ 2 = 18,441,314.5

If the quotient is a whole number, then 2 and 18,441,314.5 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 36,882,629
-1 -36,882,629

Now, we try dividing 36,882,629 by 3:

36,882,629 ÷ 3 = 12,294,209.6667

If the quotient is a whole number, then 3 and 12,294,209.6667 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 36,882,629
-1 -36,882,629

Let's try dividing by 4:

36,882,629 ÷ 4 = 9,220,657.25

If the quotient is a whole number, then 4 and 9,220,657.25 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 36,882,629
-1 36,882,629
Keep dividing by the next highest number until you cannot divide anymore.

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

1719671334691,2734,1398,91128,97378,641277,313550,4871,941,1915,268,94736,882,629
-1-7-19-67-133-469-1,273-4,139-8,911-28,973-78,641-277,313-550,487-1,941,191-5,268,947-36,882,629

More Examples

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