Q: What are the factor combinations of the number 37,677,665?

 A:
Positive:   1 x 376776655 x 753553319 x 198303595 x 396607199 x 189335995 x 378671993 x 189053781 x 9965
Negative: -1 x -37677665-5 x -7535533-19 x -1983035-95 x -396607-199 x -189335-995 x -37867-1993 x -18905-3781 x -9965


How do I find the factor combinations of the number 37,677,665?

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 37,677,665, 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 37,677,665
-1 -37,677,665

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 37,677,665.

Example:
1 x 37,677,665 = 37,677,665
and
-1 x -37,677,665 = 37,677,665
Notice both answers equal 37,677,665

With that explanation out of the way, let's continue. Next, we take the number 37,677,665 and divide it by 2:

37,677,665 ÷ 2 = 18,838,832.5

If the quotient is a whole number, then 2 and 18,838,832.5 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 37,677,665
-1 -37,677,665

Now, we try dividing 37,677,665 by 3:

37,677,665 ÷ 3 = 12,559,221.6667

If the quotient is a whole number, then 3 and 12,559,221.6667 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 37,677,665
-1 -37,677,665

Let's try dividing by 4:

37,677,665 ÷ 4 = 9,419,416.25

If the quotient is a whole number, then 4 and 9,419,416.25 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 37,677,665
-1 37,677,665
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951999951,9933,7819,96518,90537,867189,335396,6071,983,0357,535,53337,677,665
-1-5-19-95-199-995-1,993-3,781-9,965-18,905-37,867-189,335-396,607-1,983,035-7,535,533-37,677,665

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