Q: What are the factor combinations of the number 37,555,037?

 A:
Positive:   1 x 3755503713 x 288884937 x 1015001163 x 230399479 x 78403481 x 780772119 x 177236031 x 6227
Negative: -1 x -37555037-13 x -2888849-37 x -1015001-163 x -230399-479 x -78403-481 x -78077-2119 x -17723-6031 x -6227


How do I find the factor combinations of the number 37,555,037?

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 37,555,037, 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 37,555,037
-1 -37,555,037

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 37,555,037.

Example:
1 x 37,555,037 = 37,555,037
and
-1 x -37,555,037 = 37,555,037
Notice both answers equal 37,555,037

With that explanation out of the way, let's continue. Next, we take the number 37,555,037 and divide it by 2:

37,555,037 ÷ 2 = 18,777,518.5

If the quotient is a whole number, then 2 and 18,777,518.5 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 37,555,037
-1 -37,555,037

Now, we try dividing 37,555,037 by 3:

37,555,037 ÷ 3 = 12,518,345.6667

If the quotient is a whole number, then 3 and 12,518,345.6667 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 37,555,037
-1 -37,555,037

Let's try dividing by 4:

37,555,037 ÷ 4 = 9,388,759.25

If the quotient is a whole number, then 4 and 9,388,759.25 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 37,555,037
-1 37,555,037
Keep dividing by the next highest number until you cannot divide anymore.

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

113371634794812,1196,0316,22717,72378,07778,403230,3991,015,0012,888,84937,555,037
-1-13-37-163-479-481-2,119-6,031-6,227-17,723-78,077-78,403-230,399-1,015,001-2,888,849-37,555,037

More Examples

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