Q: What are the factor combinations of the number 580,880,345?

 A:
Positive:   1 x 5808803455 x 11617606973 x 7957265103 x 5639615365 x 1591453515 x 11279237519 x 7725515451 x 37595
Negative: -1 x -580880345-5 x -116176069-73 x -7957265-103 x -5639615-365 x -1591453-515 x -1127923-7519 x -77255-15451 x -37595


How do I find the factor combinations of the number 580,880,345?

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 580,880,345, 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.

1 580,880,345
-1 -580,880,345

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 580,880,345.

Example:
1 x 580,880,345 = 580,880,345
and
-1 x -580,880,345 = 580,880,345
Notice both answers equal 580,880,345

With that explanation out of the way, let's continue. Next, we take the number 580,880,345 and divide it by 2:

580,880,345 ÷ 2 = 290,440,172.5

If the quotient is a whole number, then 2 and 290,440,172.5 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:

1 580,880,345
-1 -580,880,345

Now, we try dividing 580,880,345 by 3:

580,880,345 ÷ 3 = 193,626,781.6667

If the quotient is a whole number, then 3 and 193,626,781.6667 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:

1 580,880,345
-1 -580,880,345

Let's try dividing by 4:

580,880,345 ÷ 4 = 145,220,086.25

If the quotient is a whole number, then 4 and 145,220,086.25 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:

1 580,880,345
-1 580,880,345
Keep dividing by the next highest number until you cannot divide anymore.

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

15731033655157,51915,45137,59577,2551,127,9231,591,4535,639,6157,957,265116,176,069580,880,345
-1-5-73-103-365-515-7,519-15,451-37,595-77,255-1,127,923-1,591,453-5,639,615-7,957,265-116,176,069-580,880,345

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