Q: What are the factor combinations of the number 600,163,103?

 A:
Positive:   1 x 600163103317 x 18932591303 x 4606011453 x 413051
Negative: -1 x -600163103-317 x -1893259-1303 x -460601-1453 x -413051


How do I find the factor combinations of the number 600,163,103?

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 600,163,103, 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.

1 600,163,103
-1 -600,163,103

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 600,163,103.

Example:
1 x 600,163,103 = 600,163,103
and
-1 x -600,163,103 = 600,163,103
Notice both answers equal 600,163,103

With that explanation out of the way, let's continue. Next, we take the number 600,163,103 and divide it by 2:

600,163,103 ÷ 2 = 300,081,551.5

If the quotient is a whole number, then 2 and 300,081,551.5 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:

1 600,163,103
-1 -600,163,103

Now, we try dividing 600,163,103 by 3:

600,163,103 ÷ 3 = 200,054,367.6667

If the quotient is a whole number, then 3 and 200,054,367.6667 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:

1 600,163,103
-1 -600,163,103

Let's try dividing by 4:

600,163,103 ÷ 4 = 150,040,775.75

If the quotient is a whole number, then 4 and 150,040,775.75 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:

1 600,163,103
-1 600,163,103
Keep dividing by the next highest number until you cannot divide anymore.

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

13171,3031,453413,051460,6011,893,259600,163,103
-1-317-1,303-1,453-413,051-460,601-1,893,259-600,163,103

More Examples

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