Q: What are the factor combinations of the number 13,402,543?

 A:
Positive:   1 x 134025437 x 191464911 x 121841319 x 70539777 x 174059133 x 100771209 x 641271463 x 9161
Negative: -1 x -13402543-7 x -1914649-11 x -1218413-19 x -705397-77 x -174059-133 x -100771-209 x -64127-1463 x -9161


How do I find the factor combinations of the number 13,402,543?

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 13,402,543, 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 13,402,543
-1 -13,402,543

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 13,402,543.

Example:
1 x 13,402,543 = 13,402,543
and
-1 x -13,402,543 = 13,402,543
Notice both answers equal 13,402,543

With that explanation out of the way, let's continue. Next, we take the number 13,402,543 and divide it by 2:

13,402,543 ÷ 2 = 6,701,271.5

If the quotient is a whole number, then 2 and 6,701,271.5 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 13,402,543
-1 -13,402,543

Now, we try dividing 13,402,543 by 3:

13,402,543 ÷ 3 = 4,467,514.3333

If the quotient is a whole number, then 3 and 4,467,514.3333 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 13,402,543
-1 -13,402,543

Let's try dividing by 4:

13,402,543 ÷ 4 = 3,350,635.75

If the quotient is a whole number, then 4 and 3,350,635.75 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 13,402,543
-1 13,402,543
Keep dividing by the next highest number until you cannot divide anymore.

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

171119771332091,4639,16164,127100,771174,059705,3971,218,4131,914,64913,402,543
-1-7-11-19-77-133-209-1,463-9,161-64,127-100,771-174,059-705,397-1,218,413-1,914,649-13,402,543

More Examples

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