Q: What are the factor combinations of the number 91,500?

 A:
Positive:   1 x 915002 x 457503 x 305004 x 228755 x 183006 x 1525010 x 915012 x 762515 x 610020 x 457525 x 366030 x 305050 x 183060 x 152561 x 150075 x 1220100 x 915122 x 750125 x 732150 x 610183 x 500244 x 375250 x 366300 x 305
Negative: -1 x -91500-2 x -45750-3 x -30500-4 x -22875-5 x -18300-6 x -15250-10 x -9150-12 x -7625-15 x -6100-20 x -4575-25 x -3660-30 x -3050-50 x -1830-60 x -1525-61 x -1500-75 x -1220-100 x -915-122 x -750-125 x -732-150 x -610-183 x -500-244 x -375-250 x -366-300 x -305


How do I find the factor combinations of the number 91,500?

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 91,500, 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 91,500
-1 -91,500

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 91,500.

Example:
1 x 91,500 = 91,500
and
-1 x -91,500 = 91,500
Notice both answers equal 91,500

With that explanation out of the way, let's continue. Next, we take the number 91,500 and divide it by 2:

91,500 ÷ 2 = 45,750

If the quotient is a whole number, then 2 and 45,750 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 45,750 91,500
-1 -2 -45,750 -91,500

Now, we try dividing 91,500 by 3:

91,500 ÷ 3 = 30,500

If the quotient is a whole number, then 3 and 30,500 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 30,500 45,750 91,500
-1 -2 -3 -30,500 -45,750 -91,500

Let's try dividing by 4:

91,500 ÷ 4 = 22,875

If the quotient is a whole number, then 4 and 22,875 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 4 22,875 30,500 45,750 91,500
-1 -2 -3 -4 -22,875 -30,500 -45,750 91,500
Keep dividing by the next highest number until you cannot divide anymore.

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

123456101215202530506061751001221251501832442503003053663755006107327509151,2201,5001,5251,8303,0503,6604,5756,1007,6259,15015,25018,30022,87530,50045,75091,500
-1-2-3-4-5-6-10-12-15-20-25-30-50-60-61-75-100-122-125-150-183-244-250-300-305-366-375-500-610-732-750-915-1,220-1,500-1,525-1,830-3,050-3,660-4,575-6,100-7,625-9,150-15,250-18,300-22,875-30,500-45,750-91,500

More Examples

Here are some more numbers to try:

91,49891,49991,50191,502
Try the factor calculator

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