Q: What are the factor combinations of the number 600,143,063?

 A:
Positive:   1 x 60014306313 x 4616485119 x 31586477247 x 2429729
Negative: -1 x -600143063-13 x -46164851-19 x -31586477-247 x -2429729


How do I find the factor combinations of the number 600,143,063?

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 600,143,063, 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.

1 600,143,063
-1 -600,143,063

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 600,143,063.

Example:
1 x 600,143,063 = 600,143,063
and
-1 x -600,143,063 = 600,143,063
Notice both answers equal 600,143,063

With that explanation out of the way, let's continue. Next, we take the number 600,143,063 and divide it by 2:

600,143,063 ÷ 2 = 300,071,531.5

If the quotient is a whole number, then 2 and 300,071,531.5 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:

1 600,143,063
-1 -600,143,063

Now, we try dividing 600,143,063 by 3:

600,143,063 ÷ 3 = 200,047,687.6667

If the quotient is a whole number, then 3 and 200,047,687.6667 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:

1 600,143,063
-1 -600,143,063

Let's try dividing by 4:

600,143,063 ÷ 4 = 150,035,765.75

If the quotient is a whole number, then 4 and 150,035,765.75 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:

1 600,143,063
-1 600,143,063
Keep dividing by the next highest number until you cannot divide anymore.

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

113192472,429,72931,586,47746,164,851600,143,063
-1-13-19-247-2,429,729-31,586,477-46,164,851-600,143,063

More Examples

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