Q: What are the factor combinations of the number 27,152,485?

 A:
Positive:   1 x 271524855 x 543049717 x 159720585 x 319441
Negative: -1 x -27152485-5 x -5430497-17 x -1597205-85 x -319441


How do I find the factor combinations of the number 27,152,485?

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 27,152,485, 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 27,152,485
-1 -27,152,485

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 27,152,485.

Example:
1 x 27,152,485 = 27,152,485
and
-1 x -27,152,485 = 27,152,485
Notice both answers equal 27,152,485

With that explanation out of the way, let's continue. Next, we take the number 27,152,485 and divide it by 2:

27,152,485 ÷ 2 = 13,576,242.5

If the quotient is a whole number, then 2 and 13,576,242.5 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 27,152,485
-1 -27,152,485

Now, we try dividing 27,152,485 by 3:

27,152,485 ÷ 3 = 9,050,828.3333

If the quotient is a whole number, then 3 and 9,050,828.3333 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 27,152,485
-1 -27,152,485

Let's try dividing by 4:

27,152,485 ÷ 4 = 6,788,121.25

If the quotient is a whole number, then 4 and 6,788,121.25 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 27,152,485
-1 27,152,485
Keep dividing by the next highest number until you cannot divide anymore.

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

151785319,4411,597,2055,430,49727,152,485
-1-5-17-85-319,441-1,597,205-5,430,497-27,152,485

More Examples

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