Q: What are the factor combinations of the number 37,750,135?

 A:
Positive:   1 x 377501355 x 755002741 x 920735107 x 352805205 x 184147535 x 705611721 x 219354387 x 8605
Negative: -1 x -37750135-5 x -7550027-41 x -920735-107 x -352805-205 x -184147-535 x -70561-1721 x -21935-4387 x -8605


How do I find the factor combinations of the number 37,750,135?

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 37,750,135, 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 37,750,135
-1 -37,750,135

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 37,750,135.

Example:
1 x 37,750,135 = 37,750,135
and
-1 x -37,750,135 = 37,750,135
Notice both answers equal 37,750,135

With that explanation out of the way, let's continue. Next, we take the number 37,750,135 and divide it by 2:

37,750,135 ÷ 2 = 18,875,067.5

If the quotient is a whole number, then 2 and 18,875,067.5 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 37,750,135
-1 -37,750,135

Now, we try dividing 37,750,135 by 3:

37,750,135 ÷ 3 = 12,583,378.3333

If the quotient is a whole number, then 3 and 12,583,378.3333 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 37,750,135
-1 -37,750,135

Let's try dividing by 4:

37,750,135 ÷ 4 = 9,437,533.75

If the quotient is a whole number, then 4 and 9,437,533.75 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 37,750,135
-1 37,750,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15411072055351,7214,3878,60521,93570,561184,147352,805920,7357,550,02737,750,135
-1-5-41-107-205-535-1,721-4,387-8,605-21,935-70,561-184,147-352,805-920,735-7,550,027-37,750,135

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