Q: What are the factor combinations of the number 5,444,131?

 A:
Positive:   1 x 54441317 x 77773311 x 49492117 x 32024377 x 70703119 x 45749187 x 291131309 x 4159
Negative: -1 x -5444131-7 x -777733-11 x -494921-17 x -320243-77 x -70703-119 x -45749-187 x -29113-1309 x -4159


How do I find the factor combinations of the number 5,444,131?

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 5,444,131, 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 5,444,131
-1 -5,444,131

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 5,444,131.

Example:
1 x 5,444,131 = 5,444,131
and
-1 x -5,444,131 = 5,444,131
Notice both answers equal 5,444,131

With that explanation out of the way, let's continue. Next, we take the number 5,444,131 and divide it by 2:

5,444,131 ÷ 2 = 2,722,065.5

If the quotient is a whole number, then 2 and 2,722,065.5 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 5,444,131
-1 -5,444,131

Now, we try dividing 5,444,131 by 3:

5,444,131 ÷ 3 = 1,814,710.3333

If the quotient is a whole number, then 3 and 1,814,710.3333 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 5,444,131
-1 -5,444,131

Let's try dividing by 4:

5,444,131 ÷ 4 = 1,361,032.75

If the quotient is a whole number, then 4 and 1,361,032.75 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 5,444,131
-1 5,444,131
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191871,3094,15929,11345,74970,703320,243494,921777,7335,444,131
-1-7-11-17-77-119-187-1,309-4,159-29,113-45,749-70,703-320,243-494,921-777,733-5,444,131

More Examples

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