Q: What are the factor combinations of the number 775,516,345?

 A:
Positive:   1 x 7755163455 x 155103269191 x 4060295727 x 1066735955 x 8120591117 x 6942853635 x 2133475585 x 138857
Negative: -1 x -775516345-5 x -155103269-191 x -4060295-727 x -1066735-955 x -812059-1117 x -694285-3635 x -213347-5585 x -138857


How do I find the factor combinations of the number 775,516,345?

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 775,516,345, 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.

1 775,516,345
-1 -775,516,345

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 775,516,345.

Example:
1 x 775,516,345 = 775,516,345
and
-1 x -775,516,345 = 775,516,345
Notice both answers equal 775,516,345

With that explanation out of the way, let's continue. Next, we take the number 775,516,345 and divide it by 2:

775,516,345 ÷ 2 = 387,758,172.5

If the quotient is a whole number, then 2 and 387,758,172.5 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:

1 775,516,345
-1 -775,516,345

Now, we try dividing 775,516,345 by 3:

775,516,345 ÷ 3 = 258,505,448.3333

If the quotient is a whole number, then 3 and 258,505,448.3333 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:

1 775,516,345
-1 -775,516,345

Let's try dividing by 4:

775,516,345 ÷ 4 = 193,879,086.25

If the quotient is a whole number, then 4 and 193,879,086.25 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:

1 775,516,345
-1 775,516,345
Keep dividing by the next highest number until you cannot divide anymore.

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

151917279551,1173,6355,585138,857213,347694,285812,0591,066,7354,060,295155,103,269775,516,345
-1-5-191-727-955-1,117-3,635-5,585-138,857-213,347-694,285-812,059-1,066,735-4,060,295-155,103,269-775,516,345

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