Q: What are the factor combinations of the number 36,890,357?

 A:
Positive:   1 x 368903577 x 527005117 x 2170021119 x 310003151 x 2443071057 x 349012053 x 179692567 x 14371
Negative: -1 x -36890357-7 x -5270051-17 x -2170021-119 x -310003-151 x -244307-1057 x -34901-2053 x -17969-2567 x -14371


How do I find the factor combinations of the number 36,890,357?

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 36,890,357, 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 36,890,357
-1 -36,890,357

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 36,890,357.

Example:
1 x 36,890,357 = 36,890,357
and
-1 x -36,890,357 = 36,890,357
Notice both answers equal 36,890,357

With that explanation out of the way, let's continue. Next, we take the number 36,890,357 and divide it by 2:

36,890,357 ÷ 2 = 18,445,178.5

If the quotient is a whole number, then 2 and 18,445,178.5 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 36,890,357
-1 -36,890,357

Now, we try dividing 36,890,357 by 3:

36,890,357 ÷ 3 = 12,296,785.6667

If the quotient is a whole number, then 3 and 12,296,785.6667 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 36,890,357
-1 -36,890,357

Let's try dividing by 4:

36,890,357 ÷ 4 = 9,222,589.25

If the quotient is a whole number, then 4 and 9,222,589.25 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 36,890,357
-1 36,890,357
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191511,0572,0532,56714,37117,96934,901244,307310,0032,170,0215,270,05136,890,357
-1-7-17-119-151-1,057-2,053-2,567-14,371-17,969-34,901-244,307-310,003-2,170,021-5,270,051-36,890,357

More Examples

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