Q: What are the factor combinations of the number 96,413,629?

 A:
Positive:   1 x 9641362913 x 7416433281 x 3431093653 x 26393
Negative: -1 x -96413629-13 x -7416433-281 x -343109-3653 x -26393


How do I find the factor combinations of the number 96,413,629?

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 96,413,629, 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 96,413,629
-1 -96,413,629

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 96,413,629.

Example:
1 x 96,413,629 = 96,413,629
and
-1 x -96,413,629 = 96,413,629
Notice both answers equal 96,413,629

With that explanation out of the way, let's continue. Next, we take the number 96,413,629 and divide it by 2:

96,413,629 ÷ 2 = 48,206,814.5

If the quotient is a whole number, then 2 and 48,206,814.5 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 96,413,629
-1 -96,413,629

Now, we try dividing 96,413,629 by 3:

96,413,629 ÷ 3 = 32,137,876.3333

If the quotient is a whole number, then 3 and 32,137,876.3333 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 96,413,629
-1 -96,413,629

Let's try dividing by 4:

96,413,629 ÷ 4 = 24,103,407.25

If the quotient is a whole number, then 4 and 24,103,407.25 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 96,413,629
-1 96,413,629
Keep dividing by the next highest number until you cannot divide anymore.

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

1132813,65326,393343,1097,416,43396,413,629
-1-13-281-3,653-26,393-343,109-7,416,433-96,413,629

More Examples

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