Q: What are the factor combinations of the number 27,025,835?

 A:
Positive:   1 x 270258355 x 540516717 x 158975559 x 45806585 x 317951289 x 93515295 x 91613317 x 852551003 x 269451445 x 187031585 x 170515015 x 5389
Negative: -1 x -27025835-5 x -5405167-17 x -1589755-59 x -458065-85 x -317951-289 x -93515-295 x -91613-317 x -85255-1003 x -26945-1445 x -18703-1585 x -17051-5015 x -5389


How do I find the factor combinations of the number 27,025,835?

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 27,025,835, 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 27,025,835
-1 -27,025,835

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 27,025,835.

Example:
1 x 27,025,835 = 27,025,835
and
-1 x -27,025,835 = 27,025,835
Notice both answers equal 27,025,835

With that explanation out of the way, let's continue. Next, we take the number 27,025,835 and divide it by 2:

27,025,835 ÷ 2 = 13,512,917.5

If the quotient is a whole number, then 2 and 13,512,917.5 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 27,025,835
-1 -27,025,835

Now, we try dividing 27,025,835 by 3:

27,025,835 ÷ 3 = 9,008,611.6667

If the quotient is a whole number, then 3 and 9,008,611.6667 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 27,025,835
-1 -27,025,835

Let's try dividing by 4:

27,025,835 ÷ 4 = 6,756,458.75

If the quotient is a whole number, then 4 and 6,756,458.75 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 27,025,835
-1 27,025,835
Keep dividing by the next highest number until you cannot divide anymore.

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

151759852892953171,0031,4451,5855,0155,38917,05118,70326,94585,25591,61393,515317,951458,0651,589,7555,405,16727,025,835
-1-5-17-59-85-289-295-317-1,003-1,445-1,585-5,015-5,389-17,051-18,703-26,945-85,255-91,613-93,515-317,951-458,065-1,589,755-5,405,167-27,025,835

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