Q: What are the factor combinations of the number 37,087,015?

 A:
Positive:   1 x 370870155 x 74174037 x 529814535 x 105962953 x 699755265 x 139951371 x 999651855 x 19993
Negative: -1 x -37087015-5 x -7417403-7 x -5298145-35 x -1059629-53 x -699755-265 x -139951-371 x -99965-1855 x -19993


How do I find the factor combinations of the number 37,087,015?

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 37,087,015, 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 37,087,015
-1 -37,087,015

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 37,087,015.

Example:
1 x 37,087,015 = 37,087,015
and
-1 x -37,087,015 = 37,087,015
Notice both answers equal 37,087,015

With that explanation out of the way, let's continue. Next, we take the number 37,087,015 and divide it by 2:

37,087,015 ÷ 2 = 18,543,507.5

If the quotient is a whole number, then 2 and 18,543,507.5 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 37,087,015
-1 -37,087,015

Now, we try dividing 37,087,015 by 3:

37,087,015 ÷ 3 = 12,362,338.3333

If the quotient is a whole number, then 3 and 12,362,338.3333 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 37,087,015
-1 -37,087,015

Let's try dividing by 4:

37,087,015 ÷ 4 = 9,271,753.75

If the quotient is a whole number, then 4 and 9,271,753.75 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 37,087,015
-1 37,087,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15735532653711,85519,99399,965139,951699,7551,059,6295,298,1457,417,40337,087,015
-1-5-7-35-53-265-371-1,855-19,993-99,965-139,951-699,755-1,059,629-5,298,145-7,417,403-37,087,015

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