Q: What are the factor combinations of the number 1,125,275?

 A:
Positive:   1 x 11252755 x 22505519 x 5922523 x 4892525 x 4501195 x 11845103 x 10925115 x 9785437 x 2575475 x 2369515 x 2185575 x 1957
Negative: -1 x -1125275-5 x -225055-19 x -59225-23 x -48925-25 x -45011-95 x -11845-103 x -10925-115 x -9785-437 x -2575-475 x -2369-515 x -2185-575 x -1957


How do I find the factor combinations of the number 1,125,275?

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 1,125,275, 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 1,125,275
-1 -1,125,275

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 1,125,275.

Example:
1 x 1,125,275 = 1,125,275
and
-1 x -1,125,275 = 1,125,275
Notice both answers equal 1,125,275

With that explanation out of the way, let's continue. Next, we take the number 1,125,275 and divide it by 2:

1,125,275 ÷ 2 = 562,637.5

If the quotient is a whole number, then 2 and 562,637.5 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 1,125,275
-1 -1,125,275

Now, we try dividing 1,125,275 by 3:

1,125,275 ÷ 3 = 375,091.6667

If the quotient is a whole number, then 3 and 375,091.6667 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 1,125,275
-1 -1,125,275

Let's try dividing by 4:

1,125,275 ÷ 4 = 281,318.75

If the quotient is a whole number, then 4 and 281,318.75 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 1,125,275
-1 1,125,275
Keep dividing by the next highest number until you cannot divide anymore.

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

15192325951031154374755155751,9572,1852,3692,5759,78510,92511,84545,01148,92559,225225,0551,125,275
-1-5-19-23-25-95-103-115-437-475-515-575-1,957-2,185-2,369-2,575-9,785-10,925-11,845-45,011-48,925-59,225-225,055-1,125,275

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