Q: What are the factor combinations of the number 27,553,375?

 A:
Positive:   1 x 275533755 x 551067525 x 110213553 x 519875125 x 220427265 x 1039751325 x 207954159 x 6625
Negative: -1 x -27553375-5 x -5510675-25 x -1102135-53 x -519875-125 x -220427-265 x -103975-1325 x -20795-4159 x -6625


How do I find the factor combinations of the number 27,553,375?

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 27,553,375, 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 27,553,375
-1 -27,553,375

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 27,553,375.

Example:
1 x 27,553,375 = 27,553,375
and
-1 x -27,553,375 = 27,553,375
Notice both answers equal 27,553,375

With that explanation out of the way, let's continue. Next, we take the number 27,553,375 and divide it by 2:

27,553,375 ÷ 2 = 13,776,687.5

If the quotient is a whole number, then 2 and 13,776,687.5 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 27,553,375
-1 -27,553,375

Now, we try dividing 27,553,375 by 3:

27,553,375 ÷ 3 = 9,184,458.3333

If the quotient is a whole number, then 3 and 9,184,458.3333 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 27,553,375
-1 -27,553,375

Let's try dividing by 4:

27,553,375 ÷ 4 = 6,888,343.75

If the quotient is a whole number, then 4 and 6,888,343.75 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 27,553,375
-1 27,553,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525531252651,3254,1596,62520,795103,975220,427519,8751,102,1355,510,67527,553,375
-1-5-25-53-125-265-1,325-4,159-6,625-20,795-103,975-220,427-519,875-1,102,135-5,510,675-27,553,375

More Examples

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