Q: What are the factor combinations of the number 27,225,875?

 A:
Positive:   1 x 272258755 x 544517525 x 1089035125 x 217807173 x 157375865 x 314751259 x 216254325 x 6295
Negative: -1 x -27225875-5 x -5445175-25 x -1089035-125 x -217807-173 x -157375-865 x -31475-1259 x -21625-4325 x -6295


How do I find the factor combinations of the number 27,225,875?

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 27,225,875, 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 27,225,875
-1 -27,225,875

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 27,225,875.

Example:
1 x 27,225,875 = 27,225,875
and
-1 x -27,225,875 = 27,225,875
Notice both answers equal 27,225,875

With that explanation out of the way, let's continue. Next, we take the number 27,225,875 and divide it by 2:

27,225,875 ÷ 2 = 13,612,937.5

If the quotient is a whole number, then 2 and 13,612,937.5 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 27,225,875
-1 -27,225,875

Now, we try dividing 27,225,875 by 3:

27,225,875 ÷ 3 = 9,075,291.6667

If the quotient is a whole number, then 3 and 9,075,291.6667 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 27,225,875
-1 -27,225,875

Let's try dividing by 4:

27,225,875 ÷ 4 = 6,806,468.75

If the quotient is a whole number, then 4 and 6,806,468.75 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 27,225,875
-1 27,225,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251738651,2594,3256,29521,62531,475157,375217,8071,089,0355,445,17527,225,875
-1-5-25-125-173-865-1,259-4,325-6,295-21,625-31,475-157,375-217,807-1,089,035-5,445,175-27,225,875

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