Q: What are the factor combinations of the number 5,439,005?

 A:
Positive:   1 x 54390055 x 108780111 x 49445513 x 41838555 x 9889165 x 83677143 x 38035715 x 7607
Negative: -1 x -5439005-5 x -1087801-11 x -494455-13 x -418385-55 x -98891-65 x -83677-143 x -38035-715 x -7607


How do I find the factor combinations of the number 5,439,005?

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 5,439,005, 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 5,439,005
-1 -5,439,005

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 5,439,005.

Example:
1 x 5,439,005 = 5,439,005
and
-1 x -5,439,005 = 5,439,005
Notice both answers equal 5,439,005

With that explanation out of the way, let's continue. Next, we take the number 5,439,005 and divide it by 2:

5,439,005 ÷ 2 = 2,719,502.5

If the quotient is a whole number, then 2 and 2,719,502.5 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 5,439,005
-1 -5,439,005

Now, we try dividing 5,439,005 by 3:

5,439,005 ÷ 3 = 1,813,001.6667

If the quotient is a whole number, then 3 and 1,813,001.6667 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 5,439,005
-1 -5,439,005

Let's try dividing by 4:

5,439,005 ÷ 4 = 1,359,751.25

If the quotient is a whole number, then 4 and 1,359,751.25 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 5,439,005
-1 5,439,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651437157,60738,03583,67798,891418,385494,4551,087,8015,439,005
-1-5-11-13-55-65-143-715-7,607-38,035-83,677-98,891-418,385-494,455-1,087,801-5,439,005

More Examples

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