Q: What are the factor combinations of the number 161,925?

 A:
Positive:   1 x 1619253 x 539755 x 3238515 x 1079517 x 952525 x 647751 x 317575 x 215985 x 1905127 x 1275255 x 635381 x 425
Negative: -1 x -161925-3 x -53975-5 x -32385-15 x -10795-17 x -9525-25 x -6477-51 x -3175-75 x -2159-85 x -1905-127 x -1275-255 x -635-381 x -425


How do I find the factor combinations of the number 161,925?

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 161,925, 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.

1 161,925
-1 -161,925

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 161,925.

Example:
1 x 161,925 = 161,925
and
-1 x -161,925 = 161,925
Notice both answers equal 161,925

With that explanation out of the way, let's continue. Next, we take the number 161,925 and divide it by 2:

161,925 ÷ 2 = 80,962.5

If the quotient is a whole number, then 2 and 80,962.5 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:

1 161,925
-1 -161,925

Now, we try dividing 161,925 by 3:

161,925 ÷ 3 = 53,975

If the quotient is a whole number, then 3 and 53,975 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 3 53,975 161,925
-1 -3 -53,975 -161,925

Let's try dividing by 4:

161,925 ÷ 4 = 40,481.25

If the quotient is a whole number, then 4 and 40,481.25 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 3 53,975 161,925
-1 -3 -53,975 161,925
Keep dividing by the next highest number until you cannot divide anymore.

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

1351517255175851272553814256351,2751,9052,1593,1756,4779,52510,79532,38553,975161,925
-1-3-5-15-17-25-51-75-85-127-255-381-425-635-1,275-1,905-2,159-3,175-6,477-9,525-10,795-32,385-53,975-161,925

More Examples

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