Q: What are the factor combinations of the number 94,329,079?

 A:
Positive:   1 x 9432907913 x 72560831129 x 835516427 x 14677
Negative: -1 x -94329079-13 x -7256083-1129 x -83551-6427 x -14677


How do I find the factor combinations of the number 94,329,079?

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 94,329,079, 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 94,329,079
-1 -94,329,079

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 94,329,079.

Example:
1 x 94,329,079 = 94,329,079
and
-1 x -94,329,079 = 94,329,079
Notice both answers equal 94,329,079

With that explanation out of the way, let's continue. Next, we take the number 94,329,079 and divide it by 2:

94,329,079 ÷ 2 = 47,164,539.5

If the quotient is a whole number, then 2 and 47,164,539.5 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 94,329,079
-1 -94,329,079

Now, we try dividing 94,329,079 by 3:

94,329,079 ÷ 3 = 31,443,026.3333

If the quotient is a whole number, then 3 and 31,443,026.3333 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 94,329,079
-1 -94,329,079

Let's try dividing by 4:

94,329,079 ÷ 4 = 23,582,269.75

If the quotient is a whole number, then 4 and 23,582,269.75 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 94,329,079
-1 94,329,079
Keep dividing by the next highest number until you cannot divide anymore.

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

1131,1296,42714,67783,5517,256,08394,329,079
-1-13-1,129-6,427-14,677-83,551-7,256,083-94,329,079

More Examples

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