Q: What are the factor combinations of the number 365,031,317?

 A:
Positive:   1 x 3650313177 x 5214733173 x 5000429511 x 714347809 x 451213883 x 4133995663 x 644596181 x 59057
Negative: -1 x -365031317-7 x -52147331-73 x -5000429-511 x -714347-809 x -451213-883 x -413399-5663 x -64459-6181 x -59057


How do I find the factor combinations of the number 365,031,317?

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 365,031,317, 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.

1 365,031,317
-1 -365,031,317

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 365,031,317.

Example:
1 x 365,031,317 = 365,031,317
and
-1 x -365,031,317 = 365,031,317
Notice both answers equal 365,031,317

With that explanation out of the way, let's continue. Next, we take the number 365,031,317 and divide it by 2:

365,031,317 ÷ 2 = 182,515,658.5

If the quotient is a whole number, then 2 and 182,515,658.5 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:

1 365,031,317
-1 -365,031,317

Now, we try dividing 365,031,317 by 3:

365,031,317 ÷ 3 = 121,677,105.6667

If the quotient is a whole number, then 3 and 121,677,105.6667 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:

1 365,031,317
-1 -365,031,317

Let's try dividing by 4:

365,031,317 ÷ 4 = 91,257,829.25

If the quotient is a whole number, then 4 and 91,257,829.25 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:

1 365,031,317
-1 365,031,317
Keep dividing by the next highest number until you cannot divide anymore.

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

17735118098835,6636,18159,05764,459413,399451,213714,3475,000,42952,147,331365,031,317
-1-7-73-511-809-883-5,663-6,181-59,057-64,459-413,399-451,213-714,347-5,000,429-52,147,331-365,031,317

More Examples

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