Q: What are the factor combinations of the number 114,021,013?

 A:
Positive:   1 x 11402101337 x 308164947 x 2425979173 x 659081379 x 3008471739 x 655676401 x 178138131 x 14023
Negative: -1 x -114021013-37 x -3081649-47 x -2425979-173 x -659081-379 x -300847-1739 x -65567-6401 x -17813-8131 x -14023


How do I find the factor combinations of the number 114,021,013?

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 114,021,013, 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.

1 114,021,013
-1 -114,021,013

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 114,021,013.

Example:
1 x 114,021,013 = 114,021,013
and
-1 x -114,021,013 = 114,021,013
Notice both answers equal 114,021,013

With that explanation out of the way, let's continue. Next, we take the number 114,021,013 and divide it by 2:

114,021,013 ÷ 2 = 57,010,506.5

If the quotient is a whole number, then 2 and 57,010,506.5 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:

1 114,021,013
-1 -114,021,013

Now, we try dividing 114,021,013 by 3:

114,021,013 ÷ 3 = 38,007,004.3333

If the quotient is a whole number, then 3 and 38,007,004.3333 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:

1 114,021,013
-1 -114,021,013

Let's try dividing by 4:

114,021,013 ÷ 4 = 28,505,253.25

If the quotient is a whole number, then 4 and 28,505,253.25 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:

1 114,021,013
-1 114,021,013
Keep dividing by the next highest number until you cannot divide anymore.

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

137471733791,7396,4018,13114,02317,81365,567300,847659,0812,425,9793,081,649114,021,013
-1-37-47-173-379-1,739-6,401-8,131-14,023-17,813-65,567-300,847-659,081-2,425,979-3,081,649-114,021,013

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