Q: What are the factor combinations of the number 13,442,495?

 A:
Positive:   1 x 134424955 x 268849911 x 122204517 x 79073555 x 24440985 x 158147121 x 111095187 x 71885605 x 22219935 x 143771307 x 102852057 x 6535
Negative: -1 x -13442495-5 x -2688499-11 x -1222045-17 x -790735-55 x -244409-85 x -158147-121 x -111095-187 x -71885-605 x -22219-935 x -14377-1307 x -10285-2057 x -6535


How do I find the factor combinations of the number 13,442,495?

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 13,442,495, 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 13,442,495
-1 -13,442,495

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 13,442,495.

Example:
1 x 13,442,495 = 13,442,495
and
-1 x -13,442,495 = 13,442,495
Notice both answers equal 13,442,495

With that explanation out of the way, let's continue. Next, we take the number 13,442,495 and divide it by 2:

13,442,495 ÷ 2 = 6,721,247.5

If the quotient is a whole number, then 2 and 6,721,247.5 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 13,442,495
-1 -13,442,495

Now, we try dividing 13,442,495 by 3:

13,442,495 ÷ 3 = 4,480,831.6667

If the quotient is a whole number, then 3 and 4,480,831.6667 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 13,442,495
-1 -13,442,495

Let's try dividing by 4:

13,442,495 ÷ 4 = 3,360,623.75

If the quotient is a whole number, then 4 and 3,360,623.75 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 13,442,495
-1 13,442,495
Keep dividing by the next highest number until you cannot divide anymore.

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

15111755851211876059351,3072,0576,53510,28514,37722,21971,885111,095158,147244,409790,7351,222,0452,688,49913,442,495
-1-5-11-17-55-85-121-187-605-935-1,307-2,057-6,535-10,285-14,377-22,219-71,885-111,095-158,147-244,409-790,735-1,222,045-2,688,499-13,442,495

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