Q: What are the factor combinations of the number 14,212,135?

 A:
Positive:   1 x 142121355 x 28424277 x 203030535 x 406061239 x 594651195 x 118931673 x 84951699 x 8365
Negative: -1 x -14212135-5 x -2842427-7 x -2030305-35 x -406061-239 x -59465-1195 x -11893-1673 x -8495-1699 x -8365


How do I find the factor combinations of the number 14,212,135?

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 14,212,135, 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 14,212,135
-1 -14,212,135

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 14,212,135.

Example:
1 x 14,212,135 = 14,212,135
and
-1 x -14,212,135 = 14,212,135
Notice both answers equal 14,212,135

With that explanation out of the way, let's continue. Next, we take the number 14,212,135 and divide it by 2:

14,212,135 ÷ 2 = 7,106,067.5

If the quotient is a whole number, then 2 and 7,106,067.5 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 14,212,135
-1 -14,212,135

Now, we try dividing 14,212,135 by 3:

14,212,135 ÷ 3 = 4,737,378.3333

If the quotient is a whole number, then 3 and 4,737,378.3333 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 14,212,135
-1 -14,212,135

Let's try dividing by 4:

14,212,135 ÷ 4 = 3,553,033.75

If the quotient is a whole number, then 4 and 3,553,033.75 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 14,212,135
-1 14,212,135
Keep dividing by the next highest number until you cannot divide anymore.

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

157352391,1951,6731,6998,3658,49511,89359,465406,0612,030,3052,842,42714,212,135
-1-5-7-35-239-1,195-1,673-1,699-8,365-8,495-11,893-59,465-406,061-2,030,305-2,842,427-14,212,135

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