Q: What are the factor combinations of the number 1,342,495?

 A:
Positive:   1 x 13424955 x 2684997 x 19178511 x 12204535 x 3835755 x 2440977 x 17435121 x 11095317 x 4235385 x 3487605 x 2219847 x 1585
Negative: -1 x -1342495-5 x -268499-7 x -191785-11 x -122045-35 x -38357-55 x -24409-77 x -17435-121 x -11095-317 x -4235-385 x -3487-605 x -2219-847 x -1585


How do I find the factor combinations of the number 1,342,495?

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 1,342,495, 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 1,342,495
-1 -1,342,495

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 1,342,495.

Example:
1 x 1,342,495 = 1,342,495
and
-1 x -1,342,495 = 1,342,495
Notice both answers equal 1,342,495

With that explanation out of the way, let's continue. Next, we take the number 1,342,495 and divide it by 2:

1,342,495 ÷ 2 = 671,247.5

If the quotient is a whole number, then 2 and 671,247.5 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 1,342,495
-1 -1,342,495

Now, we try dividing 1,342,495 by 3:

1,342,495 ÷ 3 = 447,498.3333

If the quotient is a whole number, then 3 and 447,498.3333 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 1,342,495
-1 -1,342,495

Let's try dividing by 4:

1,342,495 ÷ 4 = 335,623.75

If the quotient is a whole number, then 4 and 335,623.75 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 1,342,495
-1 1,342,495
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555771213173856058471,5852,2193,4874,23511,09517,43524,40938,357122,045191,785268,4991,342,495
-1-5-7-11-35-55-77-121-317-385-605-847-1,585-2,219-3,487-4,235-11,095-17,435-24,409-38,357-122,045-191,785-268,499-1,342,495

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