Q: What are the factor combinations of the number 6,000,005?

 A:
Positive:   1 x 60000055 x 120000111 x 54545543 x 13953555 x 10909159 x 101695215 x 27907295 x 20339473 x 12685649 x 92451849 x 32452365 x 2537
Negative: -1 x -6000005-5 x -1200001-11 x -545455-43 x -139535-55 x -109091-59 x -101695-215 x -27907-295 x -20339-473 x -12685-649 x -9245-1849 x -3245-2365 x -2537


How do I find the factor combinations of the number 6,000,005?

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 6,000,005, 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 6,000,005
-1 -6,000,005

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 6,000,005.

Example:
1 x 6,000,005 = 6,000,005
and
-1 x -6,000,005 = 6,000,005
Notice both answers equal 6,000,005

With that explanation out of the way, let's continue. Next, we take the number 6,000,005 and divide it by 2:

6,000,005 ÷ 2 = 3,000,002.5

If the quotient is a whole number, then 2 and 3,000,002.5 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 6,000,005
-1 -6,000,005

Now, we try dividing 6,000,005 by 3:

6,000,005 ÷ 3 = 2,000,001.6667

If the quotient is a whole number, then 3 and 2,000,001.6667 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 6,000,005
-1 -6,000,005

Let's try dividing by 4:

6,000,005 ÷ 4 = 1,500,001.25

If the quotient is a whole number, then 4 and 1,500,001.25 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 6,000,005
-1 6,000,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15114355592152954736491,8492,3652,5373,2459,24512,68520,33927,907101,695109,091139,535545,4551,200,0016,000,005
-1-5-11-43-55-59-215-295-473-649-1,849-2,365-2,537-3,245-9,245-12,685-20,339-27,907-101,695-109,091-139,535-545,455-1,200,001-6,000,005

More Examples

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