Q: What are the factor combinations of the number 363,125,147?

 A:
Positive:   1 x 3631251477 x 5187502111 x 3301137777 x 4715911
Negative: -1 x -363125147-7 x -51875021-11 x -33011377-77 x -4715911


How do I find the factor combinations of the number 363,125,147?

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 363,125,147, 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.

1 363,125,147
-1 -363,125,147

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 363,125,147.

Example:
1 x 363,125,147 = 363,125,147
and
-1 x -363,125,147 = 363,125,147
Notice both answers equal 363,125,147

With that explanation out of the way, let's continue. Next, we take the number 363,125,147 and divide it by 2:

363,125,147 ÷ 2 = 181,562,573.5

If the quotient is a whole number, then 2 and 181,562,573.5 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:

1 363,125,147
-1 -363,125,147

Now, we try dividing 363,125,147 by 3:

363,125,147 ÷ 3 = 121,041,715.6667

If the quotient is a whole number, then 3 and 121,041,715.6667 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:

1 363,125,147
-1 -363,125,147

Let's try dividing by 4:

363,125,147 ÷ 4 = 90,781,286.75

If the quotient is a whole number, then 4 and 90,781,286.75 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:

1 363,125,147
-1 363,125,147
Keep dividing by the next highest number until you cannot divide anymore.

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

1711774,715,91133,011,37751,875,021363,125,147
-1-7-11-77-4,715,911-33,011,377-51,875,021-363,125,147

More Examples

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