Q: What are the factor combinations of the number 5,405,405?

 A:
Positive:   1 x 54054055 x 108108117 x 31796519 x 28449585 x 6359395 x 56899323 x 167351615 x 3347
Negative: -1 x -5405405-5 x -1081081-17 x -317965-19 x -284495-85 x -63593-95 x -56899-323 x -16735-1615 x -3347


How do I find the factor combinations of the number 5,405,405?

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 5,405,405, 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 5,405,405
-1 -5,405,405

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 5,405,405.

Example:
1 x 5,405,405 = 5,405,405
and
-1 x -5,405,405 = 5,405,405
Notice both answers equal 5,405,405

With that explanation out of the way, let's continue. Next, we take the number 5,405,405 and divide it by 2:

5,405,405 ÷ 2 = 2,702,702.5

If the quotient is a whole number, then 2 and 2,702,702.5 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 5,405,405
-1 -5,405,405

Now, we try dividing 5,405,405 by 3:

5,405,405 ÷ 3 = 1,801,801.6667

If the quotient is a whole number, then 3 and 1,801,801.6667 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 5,405,405
-1 -5,405,405

Let's try dividing by 4:

5,405,405 ÷ 4 = 1,351,351.25

If the quotient is a whole number, then 4 and 1,351,351.25 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 5,405,405
-1 5,405,405
Keep dividing by the next highest number until you cannot divide anymore.

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

15171985953231,6153,34716,73556,89963,593284,495317,9651,081,0815,405,405
-1-5-17-19-85-95-323-1,615-3,347-16,735-56,899-63,593-284,495-317,965-1,081,081-5,405,405

More Examples

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