Q: What are the factor combinations of the number 71,995?

 A:
Positive:   1 x 719955 x 143997 x 1028511 x 654517 x 423535 x 205755 x 130977 x 93585 x 847119 x 605121 x 595187 x 385
Negative: -1 x -71995-5 x -14399-7 x -10285-11 x -6545-17 x -4235-35 x -2057-55 x -1309-77 x -935-85 x -847-119 x -605-121 x -595-187 x -385


How do I find the factor combinations of the number 71,995?

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 71,995, 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 71,995
-1 -71,995

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 71,995.

Example:
1 x 71,995 = 71,995
and
-1 x -71,995 = 71,995
Notice both answers equal 71,995

With that explanation out of the way, let's continue. Next, we take the number 71,995 and divide it by 2:

71,995 ÷ 2 = 35,997.5

If the quotient is a whole number, then 2 and 35,997.5 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 71,995
-1 -71,995

Now, we try dividing 71,995 by 3:

71,995 ÷ 3 = 23,998.3333

If the quotient is a whole number, then 3 and 23,998.3333 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 71,995
-1 -71,995

Let's try dividing by 4:

71,995 ÷ 4 = 17,998.75

If the quotient is a whole number, then 4 and 17,998.75 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 71,995
-1 71,995
Keep dividing by the next highest number until you cannot divide anymore.

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

1571117355577851191211873855956058479351,3092,0574,2356,54510,28514,39971,995
-1-5-7-11-17-35-55-77-85-119-121-187-385-595-605-847-935-1,309-2,057-4,235-6,545-10,285-14,399-71,995

More Examples

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