Q: What are the factor combinations of the number 96,729,761?

 A:
Positive:   1 x 9672976129 x 333550971 x 1362391109 x 887429431 x 2244312059 x 469793161 x 306017739 x 12499
Negative: -1 x -96729761-29 x -3335509-71 x -1362391-109 x -887429-431 x -224431-2059 x -46979-3161 x -30601-7739 x -12499


How do I find the factor combinations of the number 96,729,761?

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 96,729,761, 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 96,729,761
-1 -96,729,761

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 96,729,761.

Example:
1 x 96,729,761 = 96,729,761
and
-1 x -96,729,761 = 96,729,761
Notice both answers equal 96,729,761

With that explanation out of the way, let's continue. Next, we take the number 96,729,761 and divide it by 2:

96,729,761 ÷ 2 = 48,364,880.5

If the quotient is a whole number, then 2 and 48,364,880.5 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 96,729,761
-1 -96,729,761

Now, we try dividing 96,729,761 by 3:

96,729,761 ÷ 3 = 32,243,253.6667

If the quotient is a whole number, then 3 and 32,243,253.6667 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 96,729,761
-1 -96,729,761

Let's try dividing by 4:

96,729,761 ÷ 4 = 24,182,440.25

If the quotient is a whole number, then 4 and 24,182,440.25 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 96,729,761
-1 96,729,761
Keep dividing by the next highest number until you cannot divide anymore.

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

129711094312,0593,1617,73912,49930,60146,979224,431887,4291,362,3913,335,50996,729,761
-1-29-71-109-431-2,059-3,161-7,739-12,499-30,601-46,979-224,431-887,429-1,362,391-3,335,509-96,729,761

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