Q: What are the factor combinations of the number 856,462,715?

 A:
Positive:   1 x 8564627155 x 17129254319 x 4507698595 x 9015397211 x 40590651055 x 8118134009 x 21363520045 x 42727
Negative: -1 x -856462715-5 x -171292543-19 x -45076985-95 x -9015397-211 x -4059065-1055 x -811813-4009 x -213635-20045 x -42727


How do I find the factor combinations of the number 856,462,715?

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 856,462,715, 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.

1 856,462,715
-1 -856,462,715

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 856,462,715.

Example:
1 x 856,462,715 = 856,462,715
and
-1 x -856,462,715 = 856,462,715
Notice both answers equal 856,462,715

With that explanation out of the way, let's continue. Next, we take the number 856,462,715 and divide it by 2:

856,462,715 ÷ 2 = 428,231,357.5

If the quotient is a whole number, then 2 and 428,231,357.5 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:

1 856,462,715
-1 -856,462,715

Now, we try dividing 856,462,715 by 3:

856,462,715 ÷ 3 = 285,487,571.6667

If the quotient is a whole number, then 3 and 285,487,571.6667 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:

1 856,462,715
-1 -856,462,715

Let's try dividing by 4:

856,462,715 ÷ 4 = 214,115,678.75

If the quotient is a whole number, then 4 and 214,115,678.75 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:

1 856,462,715
-1 856,462,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1519952111,0554,00920,04542,727213,635811,8134,059,0659,015,39745,076,985171,292,543856,462,715
-1-5-19-95-211-1,055-4,009-20,045-42,727-213,635-811,813-4,059,065-9,015,397-45,076,985-171,292,543-856,462,715

More Examples

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