Q: What are the factor combinations of the number 36,740,303?

 A:
Positive:   1 x 3674030329 x 126690759 x 622717109 x 337067197 x 1864991711 x 214733161 x 116235713 x 6431
Negative: -1 x -36740303-29 x -1266907-59 x -622717-109 x -337067-197 x -186499-1711 x -21473-3161 x -11623-5713 x -6431


How do I find the factor combinations of the number 36,740,303?

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 36,740,303, 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 36,740,303
-1 -36,740,303

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 36,740,303.

Example:
1 x 36,740,303 = 36,740,303
and
-1 x -36,740,303 = 36,740,303
Notice both answers equal 36,740,303

With that explanation out of the way, let's continue. Next, we take the number 36,740,303 and divide it by 2:

36,740,303 ÷ 2 = 18,370,151.5

If the quotient is a whole number, then 2 and 18,370,151.5 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 36,740,303
-1 -36,740,303

Now, we try dividing 36,740,303 by 3:

36,740,303 ÷ 3 = 12,246,767.6667

If the quotient is a whole number, then 3 and 12,246,767.6667 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 36,740,303
-1 -36,740,303

Let's try dividing by 4:

36,740,303 ÷ 4 = 9,185,075.75

If the quotient is a whole number, then 4 and 9,185,075.75 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 36,740,303
-1 36,740,303
Keep dividing by the next highest number until you cannot divide anymore.

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

129591091971,7113,1615,7136,43111,62321,473186,499337,067622,7171,266,90736,740,303
-1-29-59-109-197-1,711-3,161-5,713-6,431-11,623-21,473-186,499-337,067-622,717-1,266,907-36,740,303

More Examples

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