Q: What are the factor combinations of the number 12,474,901?

 A:
Positive:   1 x 1247490123 x 54238729 x 43016959 x 211439317 x 39353667 x 187031357 x 91931711 x 7291
Negative: -1 x -12474901-23 x -542387-29 x -430169-59 x -211439-317 x -39353-667 x -18703-1357 x -9193-1711 x -7291


How do I find the factor combinations of the number 12,474,901?

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 12,474,901, 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 12,474,901
-1 -12,474,901

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 12,474,901.

Example:
1 x 12,474,901 = 12,474,901
and
-1 x -12,474,901 = 12,474,901
Notice both answers equal 12,474,901

With that explanation out of the way, let's continue. Next, we take the number 12,474,901 and divide it by 2:

12,474,901 ÷ 2 = 6,237,450.5

If the quotient is a whole number, then 2 and 6,237,450.5 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 12,474,901
-1 -12,474,901

Now, we try dividing 12,474,901 by 3:

12,474,901 ÷ 3 = 4,158,300.3333

If the quotient is a whole number, then 3 and 4,158,300.3333 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 12,474,901
-1 -12,474,901

Let's try dividing by 4:

12,474,901 ÷ 4 = 3,118,725.25

If the quotient is a whole number, then 4 and 3,118,725.25 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 12,474,901
-1 12,474,901
Keep dividing by the next highest number until you cannot divide anymore.

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

12329593176671,3571,7117,2919,19318,70339,353211,439430,169542,38712,474,901
-1-23-29-59-317-667-1,357-1,711-7,291-9,193-18,703-39,353-211,439-430,169-542,387-12,474,901

More Examples

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