Q: What are the factor combinations of the number 92,000,173?

 A:
Positive:   1 x 92000173
Negative: -1 x -92000173


How do I find the factor combinations of the number 92,000,173?

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 92,000,173, 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 92,000,173
-1 -92,000,173

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 92,000,173.

Example:
1 x 92,000,173 = 92,000,173
and
-1 x -92,000,173 = 92,000,173
Notice both answers equal 92,000,173

With that explanation out of the way, let's continue. Next, we take the number 92,000,173 and divide it by 2:

92,000,173 ÷ 2 = 46,000,086.5

If the quotient is a whole number, then 2 and 46,000,086.5 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 92,000,173
-1 -92,000,173

Now, we try dividing 92,000,173 by 3:

92,000,173 ÷ 3 = 30,666,724.3333

If the quotient is a whole number, then 3 and 30,666,724.3333 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 92,000,173
-1 -92,000,173

Let's try dividing by 4:

92,000,173 ÷ 4 = 23,000,043.25

If the quotient is a whole number, then 4 and 23,000,043.25 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 92,000,173
-1 92,000,173
Keep dividing by the next highest number until you cannot divide anymore.

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

192,000,173
-1-92,000,173

More Examples

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