Q: What are the factor combinations of the number 297,275?

 A:
Positive:   1 x 2972755 x 5945511 x 2702523 x 1292525 x 1189147 x 632555 x 5405115 x 2585235 x 1265253 x 1175275 x 1081517 x 575
Negative: -1 x -297275-5 x -59455-11 x -27025-23 x -12925-25 x -11891-47 x -6325-55 x -5405-115 x -2585-235 x -1265-253 x -1175-275 x -1081-517 x -575


How do I find the factor combinations of the number 297,275?

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 297,275, 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.

1 297,275
-1 -297,275

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 297,275.

Example:
1 x 297,275 = 297,275
and
-1 x -297,275 = 297,275
Notice both answers equal 297,275

With that explanation out of the way, let's continue. Next, we take the number 297,275 and divide it by 2:

297,275 ÷ 2 = 148,637.5

If the quotient is a whole number, then 2 and 148,637.5 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:

1 297,275
-1 -297,275

Now, we try dividing 297,275 by 3:

297,275 ÷ 3 = 99,091.6667

If the quotient is a whole number, then 3 and 99,091.6667 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:

1 297,275
-1 -297,275

Let's try dividing by 4:

297,275 ÷ 4 = 74,318.75

If the quotient is a whole number, then 4 and 74,318.75 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:

1 297,275
-1 297,275
Keep dividing by the next highest number until you cannot divide anymore.

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

1511232547551152352532755175751,0811,1751,2652,5855,4056,32511,89112,92527,02559,455297,275
-1-5-11-23-25-47-55-115-235-253-275-517-575-1,081-1,175-1,265-2,585-5,405-6,325-11,891-12,925-27,025-59,455-297,275

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