Q: What are the factor combinations of the number 94,986?

 A:
Positive:   1 x 949862 x 474933 x 316626 x 158319 x 1055418 x 527727 x 351854 x 1759
Negative: -1 x -94986-2 x -47493-3 x -31662-6 x -15831-9 x -10554-18 x -5277-27 x -3518-54 x -1759


How do I find the factor combinations of the number 94,986?

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 94,986, 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 94,986
-1 -94,986

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 94,986.

Example:
1 x 94,986 = 94,986
and
-1 x -94,986 = 94,986
Notice both answers equal 94,986

With that explanation out of the way, let's continue. Next, we take the number 94,986 and divide it by 2:

94,986 ÷ 2 = 47,493

If the quotient is a whole number, then 2 and 47,493 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 47,493 94,986
-1 -2 -47,493 -94,986

Now, we try dividing 94,986 by 3:

94,986 ÷ 3 = 31,662

If the quotient is a whole number, then 3 and 31,662 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 31,662 47,493 94,986
-1 -2 -3 -31,662 -47,493 -94,986

Let's try dividing by 4:

94,986 ÷ 4 = 23,746.5

If the quotient is a whole number, then 4 and 23,746.5 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 2 3 31,662 47,493 94,986
-1 -2 -3 -31,662 -47,493 94,986
Keep dividing by the next highest number until you cannot divide anymore.

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

123691827541,7593,5185,27710,55415,83131,66247,49394,986
-1-2-3-6-9-18-27-54-1,759-3,518-5,277-10,554-15,831-31,662-47,493-94,986

More Examples

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