Q: What are the factor combinations of the number 636,546,365?

 A:
Positive:   1 x 6365463655 x 1273092737 x 9093519513 x 4896510535 x 1818703965 x 979302191 x 6995015455 x 1399003
Negative: -1 x -636546365-5 x -127309273-7 x -90935195-13 x -48965105-35 x -18187039-65 x -9793021-91 x -6995015-455 x -1399003


How do I find the factor combinations of the number 636,546,365?

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 636,546,365, 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.

1 636,546,365
-1 -636,546,365

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 636,546,365.

Example:
1 x 636,546,365 = 636,546,365
and
-1 x -636,546,365 = 636,546,365
Notice both answers equal 636,546,365

With that explanation out of the way, let's continue. Next, we take the number 636,546,365 and divide it by 2:

636,546,365 ÷ 2 = 318,273,182.5

If the quotient is a whole number, then 2 and 318,273,182.5 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:

1 636,546,365
-1 -636,546,365

Now, we try dividing 636,546,365 by 3:

636,546,365 ÷ 3 = 212,182,121.6667

If the quotient is a whole number, then 3 and 212,182,121.6667 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:

1 636,546,365
-1 -636,546,365

Let's try dividing by 4:

636,546,365 ÷ 4 = 159,136,591.25

If the quotient is a whole number, then 4 and 159,136,591.25 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:

1 636,546,365
-1 636,546,365
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565914551,399,0036,995,0159,793,02118,187,03948,965,10590,935,195127,309,273636,546,365
-1-5-7-13-35-65-91-455-1,399,003-6,995,015-9,793,021-18,187,039-48,965,105-90,935,195-127,309,273-636,546,365

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