Q: What are the factor combinations of the number 93,540,017?

 A:
Positive:   1 x 935400174463 x 20959
Negative: -1 x -93540017-4463 x -20959


How do I find the factor combinations of the number 93,540,017?

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 93,540,017, 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 93,540,017
-1 -93,540,017

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 93,540,017.

Example:
1 x 93,540,017 = 93,540,017
and
-1 x -93,540,017 = 93,540,017
Notice both answers equal 93,540,017

With that explanation out of the way, let's continue. Next, we take the number 93,540,017 and divide it by 2:

93,540,017 ÷ 2 = 46,770,008.5

If the quotient is a whole number, then 2 and 46,770,008.5 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 93,540,017
-1 -93,540,017

Now, we try dividing 93,540,017 by 3:

93,540,017 ÷ 3 = 31,180,005.6667

If the quotient is a whole number, then 3 and 31,180,005.6667 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 93,540,017
-1 -93,540,017

Let's try dividing by 4:

93,540,017 ÷ 4 = 23,385,004.25

If the quotient is a whole number, then 4 and 23,385,004.25 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 93,540,017
-1 93,540,017
Keep dividing by the next highest number until you cannot divide anymore.

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

14,46320,95993,540,017
-1-4,463-20,959-93,540,017

More Examples

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