Q: What are the factor combinations of the number 15,500,023?

 A:
Positive:   1 x 155000237 x 221428911 x 140909349 x 31632777 x 201299149 x 104027193 x 80311539 x 287571043 x 148611351 x 114731639 x 94572123 x 7301
Negative: -1 x -15500023-7 x -2214289-11 x -1409093-49 x -316327-77 x -201299-149 x -104027-193 x -80311-539 x -28757-1043 x -14861-1351 x -11473-1639 x -9457-2123 x -7301


How do I find the factor combinations of the number 15,500,023?

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 15,500,023, 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 15,500,023
-1 -15,500,023

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 15,500,023.

Example:
1 x 15,500,023 = 15,500,023
and
-1 x -15,500,023 = 15,500,023
Notice both answers equal 15,500,023

With that explanation out of the way, let's continue. Next, we take the number 15,500,023 and divide it by 2:

15,500,023 ÷ 2 = 7,750,011.5

If the quotient is a whole number, then 2 and 7,750,011.5 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 15,500,023
-1 -15,500,023

Now, we try dividing 15,500,023 by 3:

15,500,023 ÷ 3 = 5,166,674.3333

If the quotient is a whole number, then 3 and 5,166,674.3333 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 15,500,023
-1 -15,500,023

Let's try dividing by 4:

15,500,023 ÷ 4 = 3,875,005.75

If the quotient is a whole number, then 4 and 3,875,005.75 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 15,500,023
-1 15,500,023
Keep dividing by the next highest number until you cannot divide anymore.

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

171149771491935391,0431,3511,6392,1237,3019,45711,47314,86128,75780,311104,027201,299316,3271,409,0932,214,28915,500,023
-1-7-11-49-77-149-193-539-1,043-1,351-1,639-2,123-7,301-9,457-11,473-14,861-28,757-80,311-104,027-201,299-316,327-1,409,093-2,214,289-15,500,023

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