Q: What are the factor combinations of the number 27,040,013?

 A:
Positive:   1 x 270400137 x 386285911 x 245818313 x 208000117 x 159058949 x 55183777 x 35116991 x 297143119 x 227227143 x 189091187 x 144599221 x 122353227 x 119119539 x 50167637 x 42449833 x 324611001 x 270131309 x 206571547 x 174791589 x 170172431 x 111232497 x 108292951 x 91633859 x 7007
Negative: -1 x -27040013-7 x -3862859-11 x -2458183-13 x -2080001-17 x -1590589-49 x -551837-77 x -351169-91 x -297143-119 x -227227-143 x -189091-187 x -144599-221 x -122353-227 x -119119-539 x -50167-637 x -42449-833 x -32461-1001 x -27013-1309 x -20657-1547 x -17479-1589 x -17017-2431 x -11123-2497 x -10829-2951 x -9163-3859 x -7007


How do I find the factor combinations of the number 27,040,013?

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 27,040,013, 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 27,040,013
-1 -27,040,013

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 27,040,013.

Example:
1 x 27,040,013 = 27,040,013
and
-1 x -27,040,013 = 27,040,013
Notice both answers equal 27,040,013

With that explanation out of the way, let's continue. Next, we take the number 27,040,013 and divide it by 2:

27,040,013 ÷ 2 = 13,520,006.5

If the quotient is a whole number, then 2 and 13,520,006.5 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 27,040,013
-1 -27,040,013

Now, we try dividing 27,040,013 by 3:

27,040,013 ÷ 3 = 9,013,337.6667

If the quotient is a whole number, then 3 and 9,013,337.6667 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 27,040,013
-1 -27,040,013

Let's try dividing by 4:

27,040,013 ÷ 4 = 6,760,003.25

If the quotient is a whole number, then 4 and 6,760,003.25 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 27,040,013
-1 27,040,013
Keep dividing by the next highest number until you cannot divide anymore.

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

171113174977911191431872212275396378331,0011,3091,5471,5892,4312,4972,9513,8597,0079,16310,82911,12317,01717,47920,65727,01332,46142,44950,167119,119122,353144,599189,091227,227297,143351,169551,8371,590,5892,080,0012,458,1833,862,85927,040,013
-1-7-11-13-17-49-77-91-119-143-187-221-227-539-637-833-1,001-1,309-1,547-1,589-2,431-2,497-2,951-3,859-7,007-9,163-10,829-11,123-17,017-17,479-20,657-27,013-32,461-42,449-50,167-119,119-122,353-144,599-189,091-227,227-297,143-351,169-551,837-1,590,589-2,080,001-2,458,183-3,862,859-27,040,013

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