Q: What are the factor combinations of the number 37,515,823?

 A:
Positive:   1 x 3751582319 x 197451743 x 87246147 x 798209817 x 45919893 x 42011977 x 383992021 x 18563
Negative: -1 x -37515823-19 x -1974517-43 x -872461-47 x -798209-817 x -45919-893 x -42011-977 x -38399-2021 x -18563


How do I find the factor combinations of the number 37,515,823?

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 37,515,823, 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 37,515,823
-1 -37,515,823

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 37,515,823.

Example:
1 x 37,515,823 = 37,515,823
and
-1 x -37,515,823 = 37,515,823
Notice both answers equal 37,515,823

With that explanation out of the way, let's continue. Next, we take the number 37,515,823 and divide it by 2:

37,515,823 ÷ 2 = 18,757,911.5

If the quotient is a whole number, then 2 and 18,757,911.5 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 37,515,823
-1 -37,515,823

Now, we try dividing 37,515,823 by 3:

37,515,823 ÷ 3 = 12,505,274.3333

If the quotient is a whole number, then 3 and 12,505,274.3333 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 37,515,823
-1 -37,515,823

Let's try dividing by 4:

37,515,823 ÷ 4 = 9,378,955.75

If the quotient is a whole number, then 4 and 9,378,955.75 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 37,515,823
-1 37,515,823
Keep dividing by the next highest number until you cannot divide anymore.

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

11943478178939772,02118,56338,39942,01145,919798,209872,4611,974,51737,515,823
-1-19-43-47-817-893-977-2,021-18,563-38,399-42,011-45,919-798,209-872,461-1,974,517-37,515,823

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