Q: What are the factor combinations of the number 27,481,435?

 A:
Positive:   1 x 274814355 x 549628717 x 161655523 x 119484585 x 323311115 x 238969391 x 702851955 x 14057
Negative: -1 x -27481435-5 x -5496287-17 x -1616555-23 x -1194845-85 x -323311-115 x -238969-391 x -70285-1955 x -14057


How do I find the factor combinations of the number 27,481,435?

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 27,481,435, 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 27,481,435
-1 -27,481,435

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 27,481,435.

Example:
1 x 27,481,435 = 27,481,435
and
-1 x -27,481,435 = 27,481,435
Notice both answers equal 27,481,435

With that explanation out of the way, let's continue. Next, we take the number 27,481,435 and divide it by 2:

27,481,435 ÷ 2 = 13,740,717.5

If the quotient is a whole number, then 2 and 13,740,717.5 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 27,481,435
-1 -27,481,435

Now, we try dividing 27,481,435 by 3:

27,481,435 ÷ 3 = 9,160,478.3333

If the quotient is a whole number, then 3 and 9,160,478.3333 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 27,481,435
-1 -27,481,435

Let's try dividing by 4:

27,481,435 ÷ 4 = 6,870,358.75

If the quotient is a whole number, then 4 and 6,870,358.75 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 27,481,435
-1 27,481,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151723851153911,95514,05770,285238,969323,3111,194,8451,616,5555,496,28727,481,435
-1-5-17-23-85-115-391-1,955-14,057-70,285-238,969-323,311-1,194,845-1,616,555-5,496,287-27,481,435

More Examples

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