Q: What are the factor combinations of the number 712,771,165?

 A:
Positive:   1 x 7127711655 x 142554233109 x 6539185359 x 1985435545 x 13078371795 x 3970873643 x 19565518215 x 39131
Negative: -1 x -712771165-5 x -142554233-109 x -6539185-359 x -1985435-545 x -1307837-1795 x -397087-3643 x -195655-18215 x -39131


How do I find the factor combinations of the number 712,771,165?

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 712,771,165, 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.

1 712,771,165
-1 -712,771,165

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 712,771,165.

Example:
1 x 712,771,165 = 712,771,165
and
-1 x -712,771,165 = 712,771,165
Notice both answers equal 712,771,165

With that explanation out of the way, let's continue. Next, we take the number 712,771,165 and divide it by 2:

712,771,165 ÷ 2 = 356,385,582.5

If the quotient is a whole number, then 2 and 356,385,582.5 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:

1 712,771,165
-1 -712,771,165

Now, we try dividing 712,771,165 by 3:

712,771,165 ÷ 3 = 237,590,388.3333

If the quotient is a whole number, then 3 and 237,590,388.3333 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:

1 712,771,165
-1 -712,771,165

Let's try dividing by 4:

712,771,165 ÷ 4 = 178,192,791.25

If the quotient is a whole number, then 4 and 178,192,791.25 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:

1 712,771,165
-1 712,771,165
Keep dividing by the next highest number until you cannot divide anymore.

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

151093595451,7953,64318,21539,131195,655397,0871,307,8371,985,4356,539,185142,554,233712,771,165
-1-5-109-359-545-1,795-3,643-18,215-39,131-195,655-397,087-1,307,837-1,985,435-6,539,185-142,554,233-712,771,165

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