Q: What are the factor combinations of the number 13,404,655?

 A:
Positive:   1 x 134046555 x 268093111 x 121860555 x 243721251 x 53405971 x 138051255 x 106812761 x 4855
Negative: -1 x -13404655-5 x -2680931-11 x -1218605-55 x -243721-251 x -53405-971 x -13805-1255 x -10681-2761 x -4855


How do I find the factor combinations of the number 13,404,655?

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 13,404,655, 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 13,404,655
-1 -13,404,655

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 13,404,655.

Example:
1 x 13,404,655 = 13,404,655
and
-1 x -13,404,655 = 13,404,655
Notice both answers equal 13,404,655

With that explanation out of the way, let's continue. Next, we take the number 13,404,655 and divide it by 2:

13,404,655 ÷ 2 = 6,702,327.5

If the quotient is a whole number, then 2 and 6,702,327.5 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 13,404,655
-1 -13,404,655

Now, we try dividing 13,404,655 by 3:

13,404,655 ÷ 3 = 4,468,218.3333

If the quotient is a whole number, then 3 and 4,468,218.3333 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 13,404,655
-1 -13,404,655

Let's try dividing by 4:

13,404,655 ÷ 4 = 3,351,163.75

If the quotient is a whole number, then 4 and 3,351,163.75 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 13,404,655
-1 13,404,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552519711,2552,7614,85510,68113,80553,405243,7211,218,6052,680,93113,404,655
-1-5-11-55-251-971-1,255-2,761-4,855-10,681-13,805-53,405-243,721-1,218,605-2,680,931-13,404,655

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