Q: What are the factor combinations of the number 163,625?

 A:
Positive:   1 x 1636255 x 327257 x 2337511 x 1487517 x 962525 x 654535 x 467555 x 297577 x 212585 x 1925119 x 1375125 x 1309175 x 935187 x 875275 x 595385 x 425
Negative: -1 x -163625-5 x -32725-7 x -23375-11 x -14875-17 x -9625-25 x -6545-35 x -4675-55 x -2975-77 x -2125-85 x -1925-119 x -1375-125 x -1309-175 x -935-187 x -875-275 x -595-385 x -425


How do I find the factor combinations of the number 163,625?

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 163,625, 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.

1 163,625
-1 -163,625

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 163,625.

Example:
1 x 163,625 = 163,625
and
-1 x -163,625 = 163,625
Notice both answers equal 163,625

With that explanation out of the way, let's continue. Next, we take the number 163,625 and divide it by 2:

163,625 ÷ 2 = 81,812.5

If the quotient is a whole number, then 2 and 81,812.5 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:

1 163,625
-1 -163,625

Now, we try dividing 163,625 by 3:

163,625 ÷ 3 = 54,541.6667

If the quotient is a whole number, then 3 and 54,541.6667 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:

1 163,625
-1 -163,625

Let's try dividing by 4:

163,625 ÷ 4 = 40,906.25

If the quotient is a whole number, then 4 and 40,906.25 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:

1 163,625
-1 163,625
Keep dividing by the next highest number until you cannot divide anymore.

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

157111725355577851191251751872753854255958759351,3091,3751,9252,1252,9754,6756,5459,62514,87523,37532,725163,625
-1-5-7-11-17-25-35-55-77-85-119-125-175-187-275-385-425-595-875-935-1,309-1,375-1,925-2,125-2,975-4,675-6,545-9,625-14,875-23,375-32,725-163,625

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