Q: What are the factor combinations of the number 1,342,825?

 A:
Positive:   1 x 13428255 x 26856511 x 12207519 x 7067525 x 5371355 x 2441595 x 14135209 x 6425257 x 5225275 x 4883475 x 28271045 x 1285
Negative: -1 x -1342825-5 x -268565-11 x -122075-19 x -70675-25 x -53713-55 x -24415-95 x -14135-209 x -6425-257 x -5225-275 x -4883-475 x -2827-1045 x -1285


How do I find the factor combinations of the number 1,342,825?

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 1,342,825, 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 1,342,825
-1 -1,342,825

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 1,342,825.

Example:
1 x 1,342,825 = 1,342,825
and
-1 x -1,342,825 = 1,342,825
Notice both answers equal 1,342,825

With that explanation out of the way, let's continue. Next, we take the number 1,342,825 and divide it by 2:

1,342,825 ÷ 2 = 671,412.5

If the quotient is a whole number, then 2 and 671,412.5 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 1,342,825
-1 -1,342,825

Now, we try dividing 1,342,825 by 3:

1,342,825 ÷ 3 = 447,608.3333

If the quotient is a whole number, then 3 and 447,608.3333 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 1,342,825
-1 -1,342,825

Let's try dividing by 4:

1,342,825 ÷ 4 = 335,706.25

If the quotient is a whole number, then 4 and 335,706.25 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 1,342,825
-1 1,342,825
Keep dividing by the next highest number until you cannot divide anymore.

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

1511192555952092572754751,0451,2852,8274,8835,2256,42514,13524,41553,71370,675122,075268,5651,342,825
-1-5-11-19-25-55-95-209-257-275-475-1,045-1,285-2,827-4,883-5,225-6,425-14,135-24,415-53,713-70,675-122,075-268,565-1,342,825

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