Q: What are the factor combinations of the number 75,037,165?

 A:
Positive:   1 x 750371655 x 150074337 x 1071959535 x 21439191223 x 613551753 x 428056115 x 122718561 x 8765
Negative: -1 x -75037165-5 x -15007433-7 x -10719595-35 x -2143919-1223 x -61355-1753 x -42805-6115 x -12271-8561 x -8765


How do I find the factor combinations of the number 75,037,165?

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 75,037,165, 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 75,037,165
-1 -75,037,165

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 75,037,165.

Example:
1 x 75,037,165 = 75,037,165
and
-1 x -75,037,165 = 75,037,165
Notice both answers equal 75,037,165

With that explanation out of the way, let's continue. Next, we take the number 75,037,165 and divide it by 2:

75,037,165 ÷ 2 = 37,518,582.5

If the quotient is a whole number, then 2 and 37,518,582.5 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 75,037,165
-1 -75,037,165

Now, we try dividing 75,037,165 by 3:

75,037,165 ÷ 3 = 25,012,388.3333

If the quotient is a whole number, then 3 and 25,012,388.3333 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 75,037,165
-1 -75,037,165

Let's try dividing by 4:

75,037,165 ÷ 4 = 18,759,291.25

If the quotient is a whole number, then 4 and 18,759,291.25 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 75,037,165
-1 75,037,165
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,2231,7536,1158,5618,76512,27142,80561,3552,143,91910,719,59515,007,43375,037,165
-1-5-7-35-1,223-1,753-6,115-8,561-8,765-12,271-42,805-61,355-2,143,919-10,719,595-15,007,433-75,037,165

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