Q: What are the factor combinations of the number 75,085,015?

 A:
Positive:   1 x 750850155 x 150170031019 x 736855095 x 14737
Negative: -1 x -75085015-5 x -15017003-1019 x -73685-5095 x -14737


How do I find the factor combinations of the number 75,085,015?

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 75,085,015, 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 75,085,015
-1 -75,085,015

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 75,085,015.

Example:
1 x 75,085,015 = 75,085,015
and
-1 x -75,085,015 = 75,085,015
Notice both answers equal 75,085,015

With that explanation out of the way, let's continue. Next, we take the number 75,085,015 and divide it by 2:

75,085,015 ÷ 2 = 37,542,507.5

If the quotient is a whole number, then 2 and 37,542,507.5 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 75,085,015
-1 -75,085,015

Now, we try dividing 75,085,015 by 3:

75,085,015 ÷ 3 = 25,028,338.3333

If the quotient is a whole number, then 3 and 25,028,338.3333 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 75,085,015
-1 -75,085,015

Let's try dividing by 4:

75,085,015 ÷ 4 = 18,771,253.75

If the quotient is a whole number, then 4 and 18,771,253.75 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 75,085,015
-1 75,085,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151,0195,09514,73773,68515,017,00375,085,015
-1-5-1,019-5,095-14,737-73,685-15,017,003-75,085,015

More Examples

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