Q: What are the factor combinations of the number 1,329,251?

 A:
Positive:   1 x 13292517 x 18989311 x 12084161 x 2179177 x 17263283 x 4697427 x 3113671 x 1981
Negative: -1 x -1329251-7 x -189893-11 x -120841-61 x -21791-77 x -17263-283 x -4697-427 x -3113-671 x -1981


How do I find the factor combinations of the number 1,329,251?

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 1,329,251, 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 1,329,251
-1 -1,329,251

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 1,329,251.

Example:
1 x 1,329,251 = 1,329,251
and
-1 x -1,329,251 = 1,329,251
Notice both answers equal 1,329,251

With that explanation out of the way, let's continue. Next, we take the number 1,329,251 and divide it by 2:

1,329,251 ÷ 2 = 664,625.5

If the quotient is a whole number, then 2 and 664,625.5 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 1,329,251
-1 -1,329,251

Now, we try dividing 1,329,251 by 3:

1,329,251 ÷ 3 = 443,083.6667

If the quotient is a whole number, then 3 and 443,083.6667 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 1,329,251
-1 -1,329,251

Let's try dividing by 4:

1,329,251 ÷ 4 = 332,312.75

If the quotient is a whole number, then 4 and 332,312.75 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 1,329,251
-1 1,329,251
Keep dividing by the next highest number until you cannot divide anymore.

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

171161772834276711,9813,1134,69717,26321,791120,841189,8931,329,251
-1-7-11-61-77-283-427-671-1,981-3,113-4,697-17,263-21,791-120,841-189,893-1,329,251

More Examples

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