Q: What are the factor combinations of the number 36,666,637?

 A:
Positive:   1 x 366666377 x 523809117 x 215686119 x 1929823119 x 308123133 x 275689323 x 1135192261 x 16217
Negative: -1 x -36666637-7 x -5238091-17 x -2156861-19 x -1929823-119 x -308123-133 x -275689-323 x -113519-2261 x -16217


How do I find the factor combinations of the number 36,666,637?

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 36,666,637, 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 36,666,637
-1 -36,666,637

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 36,666,637.

Example:
1 x 36,666,637 = 36,666,637
and
-1 x -36,666,637 = 36,666,637
Notice both answers equal 36,666,637

With that explanation out of the way, let's continue. Next, we take the number 36,666,637 and divide it by 2:

36,666,637 ÷ 2 = 18,333,318.5

If the quotient is a whole number, then 2 and 18,333,318.5 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 36,666,637
-1 -36,666,637

Now, we try dividing 36,666,637 by 3:

36,666,637 ÷ 3 = 12,222,212.3333

If the quotient is a whole number, then 3 and 12,222,212.3333 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 36,666,637
-1 -36,666,637

Let's try dividing by 4:

36,666,637 ÷ 4 = 9,166,659.25

If the quotient is a whole number, then 4 and 9,166,659.25 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 36,666,637
-1 36,666,637
Keep dividing by the next highest number until you cannot divide anymore.

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

1717191191333232,26116,217113,519275,689308,1231,929,8232,156,8615,238,09136,666,637
-1-7-17-19-119-133-323-2,261-16,217-113,519-275,689-308,123-1,929,823-2,156,861-5,238,091-36,666,637

More Examples

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