Q: What are the factor combinations of the number 600,005?

 A:
Positive:   1 x 6000055 x 1200017 x 8571531 x 1935535 x 1714349 x 1224579 x 7595155 x 3871217 x 2765245 x 2449395 x 1519553 x 1085
Negative: -1 x -600005-5 x -120001-7 x -85715-31 x -19355-35 x -17143-49 x -12245-79 x -7595-155 x -3871-217 x -2765-245 x -2449-395 x -1519-553 x -1085


How do I find the factor combinations of the number 600,005?

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 600,005, 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.

1 600,005
-1 -600,005

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 600,005.

Example:
1 x 600,005 = 600,005
and
-1 x -600,005 = 600,005
Notice both answers equal 600,005

With that explanation out of the way, let's continue. Next, we take the number 600,005 and divide it by 2:

600,005 ÷ 2 = 300,002.5

If the quotient is a whole number, then 2 and 300,002.5 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:

1 600,005
-1 -600,005

Now, we try dividing 600,005 by 3:

600,005 ÷ 3 = 200,001.6667

If the quotient is a whole number, then 3 and 200,001.6667 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:

1 600,005
-1 -600,005

Let's try dividing by 4:

600,005 ÷ 4 = 150,001.25

If the quotient is a whole number, then 4 and 150,001.25 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:

1 600,005
-1 600,005
Keep dividing by the next highest number until you cannot divide anymore.

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

157313549791552172453955531,0851,5192,4492,7653,8717,59512,24517,14319,35585,715120,001600,005
-1-5-7-31-35-49-79-155-217-245-395-553-1,085-1,519-2,449-2,765-3,871-7,595-12,245-17,143-19,355-85,715-120,001-600,005

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