Q: What are the factor combinations of the number 871,000,075?

 A:
Positive:   1 x 8710000755 x 17420001511 x 7918182525 x 3484000355 x 15836365275 x 3167273
Negative: -1 x -871000075-5 x -174200015-11 x -79181825-25 x -34840003-55 x -15836365-275 x -3167273


How do I find the factor combinations of the number 871,000,075?

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 871,000,075, 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.

1 871,000,075
-1 -871,000,075

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 871,000,075.

Example:
1 x 871,000,075 = 871,000,075
and
-1 x -871,000,075 = 871,000,075
Notice both answers equal 871,000,075

With that explanation out of the way, let's continue. Next, we take the number 871,000,075 and divide it by 2:

871,000,075 ÷ 2 = 435,500,037.5

If the quotient is a whole number, then 2 and 435,500,037.5 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:

1 871,000,075
-1 -871,000,075

Now, we try dividing 871,000,075 by 3:

871,000,075 ÷ 3 = 290,333,358.3333

If the quotient is a whole number, then 3 and 290,333,358.3333 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:

1 871,000,075
-1 -871,000,075

Let's try dividing by 4:

871,000,075 ÷ 4 = 217,750,018.75

If the quotient is a whole number, then 4 and 217,750,018.75 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:

1 871,000,075
-1 871,000,075
Keep dividing by the next highest number until you cannot divide anymore.

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

151125552753,167,27315,836,36534,840,00379,181,825174,200,015871,000,075
-1-5-11-25-55-275-3,167,273-15,836,365-34,840,003-79,181,825-174,200,015-871,000,075

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