Q: What are the factor combinations of the number 585,086,545?

 A:
Positive:   1 x 5850865455 x 11701730967 x 8732635241 x 2427745335 x 17465271205 x 4855497247 x 8073516147 x 36235
Negative: -1 x -585086545-5 x -117017309-67 x -8732635-241 x -2427745-335 x -1746527-1205 x -485549-7247 x -80735-16147 x -36235


How do I find the factor combinations of the number 585,086,545?

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 585,086,545, 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.

1 585,086,545
-1 -585,086,545

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 585,086,545.

Example:
1 x 585,086,545 = 585,086,545
and
-1 x -585,086,545 = 585,086,545
Notice both answers equal 585,086,545

With that explanation out of the way, let's continue. Next, we take the number 585,086,545 and divide it by 2:

585,086,545 ÷ 2 = 292,543,272.5

If the quotient is a whole number, then 2 and 292,543,272.5 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:

1 585,086,545
-1 -585,086,545

Now, we try dividing 585,086,545 by 3:

585,086,545 ÷ 3 = 195,028,848.3333

If the quotient is a whole number, then 3 and 195,028,848.3333 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:

1 585,086,545
-1 -585,086,545

Let's try dividing by 4:

585,086,545 ÷ 4 = 146,271,636.25

If the quotient is a whole number, then 4 and 146,271,636.25 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:

1 585,086,545
-1 585,086,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15672413351,2057,24716,14736,23580,735485,5491,746,5272,427,7458,732,635117,017,309585,086,545
-1-5-67-241-335-1,205-7,247-16,147-36,235-80,735-485,549-1,746,527-2,427,745-8,732,635-117,017,309-585,086,545

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