Q: What are the factor combinations of the number 455,002,015?

 A:
Positive:   1 x 4550020155 x 9100040313 x 3500015565 x 7000031347 x 13112451735 x 2622494511 x 10086520173 x 22555
Negative: -1 x -455002015-5 x -91000403-13 x -35000155-65 x -7000031-347 x -1311245-1735 x -262249-4511 x -100865-20173 x -22555


How do I find the factor combinations of the number 455,002,015?

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 455,002,015, 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.

1 455,002,015
-1 -455,002,015

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 455,002,015.

Example:
1 x 455,002,015 = 455,002,015
and
-1 x -455,002,015 = 455,002,015
Notice both answers equal 455,002,015

With that explanation out of the way, let's continue. Next, we take the number 455,002,015 and divide it by 2:

455,002,015 ÷ 2 = 227,501,007.5

If the quotient is a whole number, then 2 and 227,501,007.5 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:

1 455,002,015
-1 -455,002,015

Now, we try dividing 455,002,015 by 3:

455,002,015 ÷ 3 = 151,667,338.3333

If the quotient is a whole number, then 3 and 151,667,338.3333 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:

1 455,002,015
-1 -455,002,015

Let's try dividing by 4:

455,002,015 ÷ 4 = 113,750,503.75

If the quotient is a whole number, then 4 and 113,750,503.75 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:

1 455,002,015
-1 455,002,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513653471,7354,51120,17322,555100,865262,2491,311,2457,000,03135,000,15591,000,403455,002,015
-1-5-13-65-347-1,735-4,511-20,173-22,555-100,865-262,249-1,311,245-7,000,031-35,000,155-91,000,403-455,002,015

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