Q: What are the factor combinations of the number 161,975?

 A:
Positive:   1 x 1619755 x 3239511 x 1472519 x 852525 x 647931 x 522555 x 294595 x 1705155 x 1045209 x 775275 x 589341 x 475
Negative: -1 x -161975-5 x -32395-11 x -14725-19 x -8525-25 x -6479-31 x -5225-55 x -2945-95 x -1705-155 x -1045-209 x -775-275 x -589-341 x -475


How do I find the factor combinations of the number 161,975?

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 161,975, 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.

1 161,975
-1 -161,975

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 161,975.

Example:
1 x 161,975 = 161,975
and
-1 x -161,975 = 161,975
Notice both answers equal 161,975

With that explanation out of the way, let's continue. Next, we take the number 161,975 and divide it by 2:

161,975 ÷ 2 = 80,987.5

If the quotient is a whole number, then 2 and 80,987.5 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:

1 161,975
-1 -161,975

Now, we try dividing 161,975 by 3:

161,975 ÷ 3 = 53,991.6667

If the quotient is a whole number, then 3 and 53,991.6667 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:

1 161,975
-1 -161,975

Let's try dividing by 4:

161,975 ÷ 4 = 40,493.75

If the quotient is a whole number, then 4 and 40,493.75 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:

1 161,975
-1 161,975
Keep dividing by the next highest number until you cannot divide anymore.

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

151119253155951552092753414755897751,0451,7052,9455,2256,4798,52514,72532,395161,975
-1-5-11-19-25-31-55-95-155-209-275-341-475-589-775-1,045-1,705-2,945-5,225-6,479-8,525-14,725-32,395-161,975

More Examples

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