Q: What are the factor combinations of the number 13,426,483?

 A:
Positive:   1 x 134264837 x 191806919 x 706657133 x 100951157 x 85519643 x 208811099 x 122172983 x 4501
Negative: -1 x -13426483-7 x -1918069-19 x -706657-133 x -100951-157 x -85519-643 x -20881-1099 x -12217-2983 x -4501


How do I find the factor combinations of the number 13,426,483?

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 13,426,483, 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 13,426,483
-1 -13,426,483

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 13,426,483.

Example:
1 x 13,426,483 = 13,426,483
and
-1 x -13,426,483 = 13,426,483
Notice both answers equal 13,426,483

With that explanation out of the way, let's continue. Next, we take the number 13,426,483 and divide it by 2:

13,426,483 ÷ 2 = 6,713,241.5

If the quotient is a whole number, then 2 and 6,713,241.5 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 13,426,483
-1 -13,426,483

Now, we try dividing 13,426,483 by 3:

13,426,483 ÷ 3 = 4,475,494.3333

If the quotient is a whole number, then 3 and 4,475,494.3333 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 13,426,483
-1 -13,426,483

Let's try dividing by 4:

13,426,483 ÷ 4 = 3,356,620.75

If the quotient is a whole number, then 4 and 3,356,620.75 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 13,426,483
-1 13,426,483
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331576431,0992,9834,50112,21720,88185,519100,951706,6571,918,06913,426,483
-1-7-19-133-157-643-1,099-2,983-4,501-12,217-20,881-85,519-100,951-706,657-1,918,069-13,426,483

More Examples

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