Q: What are the factor combinations of the number 1,433,245?

 A:
Positive:   1 x 14332455 x 28664911 x 13029523 x 6231555 x 26059103 x 13915115 x 12463121 x 11845253 x 5665515 x 2783605 x 23691133 x 1265
Negative: -1 x -1433245-5 x -286649-11 x -130295-23 x -62315-55 x -26059-103 x -13915-115 x -12463-121 x -11845-253 x -5665-515 x -2783-605 x -2369-1133 x -1265


How do I find the factor combinations of the number 1,433,245?

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 1,433,245, 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 1,433,245
-1 -1,433,245

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 1,433,245.

Example:
1 x 1,433,245 = 1,433,245
and
-1 x -1,433,245 = 1,433,245
Notice both answers equal 1,433,245

With that explanation out of the way, let's continue. Next, we take the number 1,433,245 and divide it by 2:

1,433,245 ÷ 2 = 716,622.5

If the quotient is a whole number, then 2 and 716,622.5 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 1,433,245
-1 -1,433,245

Now, we try dividing 1,433,245 by 3:

1,433,245 ÷ 3 = 477,748.3333

If the quotient is a whole number, then 3 and 477,748.3333 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 1,433,245
-1 -1,433,245

Let's try dividing by 4:

1,433,245 ÷ 4 = 358,311.25

If the quotient is a whole number, then 4 and 358,311.25 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 1,433,245
-1 1,433,245
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551031151212535156051,1331,2652,3692,7835,66511,84512,46313,91526,05962,315130,295286,6491,433,245
-1-5-11-23-55-103-115-121-253-515-605-1,133-1,265-2,369-2,783-5,665-11,845-12,463-13,915-26,059-62,315-130,295-286,649-1,433,245

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