Q: What are the factor combinations of the number 4,272,947?

 A:
Positive:   1 x 42729477 x 61042129 x 14734331 x 13783749 x 8720397 x 44051203 x 21049217 x 19691679 x 6293899 x 47531421 x 30071519 x 2813
Negative: -1 x -4272947-7 x -610421-29 x -147343-31 x -137837-49 x -87203-97 x -44051-203 x -21049-217 x -19691-679 x -6293-899 x -4753-1421 x -3007-1519 x -2813


How do I find the factor combinations of the number 4,272,947?

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 4,272,947, 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 4,272,947
-1 -4,272,947

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 4,272,947.

Example:
1 x 4,272,947 = 4,272,947
and
-1 x -4,272,947 = 4,272,947
Notice both answers equal 4,272,947

With that explanation out of the way, let's continue. Next, we take the number 4,272,947 and divide it by 2:

4,272,947 ÷ 2 = 2,136,473.5

If the quotient is a whole number, then 2 and 2,136,473.5 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 4,272,947
-1 -4,272,947

Now, we try dividing 4,272,947 by 3:

4,272,947 ÷ 3 = 1,424,315.6667

If the quotient is a whole number, then 3 and 1,424,315.6667 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 4,272,947
-1 -4,272,947

Let's try dividing by 4:

4,272,947 ÷ 4 = 1,068,236.75

If the quotient is a whole number, then 4 and 1,068,236.75 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 4,272,947
-1 4,272,947
Keep dividing by the next highest number until you cannot divide anymore.

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

17293149972032176798991,4211,5192,8133,0074,7536,29319,69121,04944,05187,203137,837147,343610,4214,272,947
-1-7-29-31-49-97-203-217-679-899-1,421-1,519-2,813-3,007-4,753-6,293-19,691-21,049-44,051-87,203-137,837-147,343-610,421-4,272,947

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