Q: What are the factor combinations of the number 27,225,275?

 A:
Positive:   1 x 272252755 x 54450557 x 388932511 x 247502525 x 108901135 x 77786555 x 49500577 x 353575175 x 155573275 x 99001385 x 707151925 x 14143
Negative: -1 x -27225275-5 x -5445055-7 x -3889325-11 x -2475025-25 x -1089011-35 x -777865-55 x -495005-77 x -353575-175 x -155573-275 x -99001-385 x -70715-1925 x -14143


How do I find the factor combinations of the number 27,225,275?

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 27,225,275, 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 27,225,275
-1 -27,225,275

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 27,225,275.

Example:
1 x 27,225,275 = 27,225,275
and
-1 x -27,225,275 = 27,225,275
Notice both answers equal 27,225,275

With that explanation out of the way, let's continue. Next, we take the number 27,225,275 and divide it by 2:

27,225,275 ÷ 2 = 13,612,637.5

If the quotient is a whole number, then 2 and 13,612,637.5 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 27,225,275
-1 -27,225,275

Now, we try dividing 27,225,275 by 3:

27,225,275 ÷ 3 = 9,075,091.6667

If the quotient is a whole number, then 3 and 9,075,091.6667 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 27,225,275
-1 -27,225,275

Let's try dividing by 4:

27,225,275 ÷ 4 = 6,806,318.75

If the quotient is a whole number, then 4 and 6,806,318.75 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 27,225,275
-1 27,225,275
Keep dividing by the next highest number until you cannot divide anymore.

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

15711253555771752753851,92514,14370,71599,001155,573353,575495,005777,8651,089,0112,475,0253,889,3255,445,05527,225,275
-1-5-7-11-25-35-55-77-175-275-385-1,925-14,143-70,715-99,001-155,573-353,575-495,005-777,865-1,089,011-2,475,025-3,889,325-5,445,055-27,225,275

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