Q: What are the factor combinations of the number 11,000,015?

 A:
Positive:   1 x 110000155 x 220000313 x 84615565 x 169231229 x 48035739 x 148851145 x 96072977 x 3695
Negative: -1 x -11000015-5 x -2200003-13 x -846155-65 x -169231-229 x -48035-739 x -14885-1145 x -9607-2977 x -3695


How do I find the factor combinations of the number 11,000,015?

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 11,000,015, 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 11,000,015
-1 -11,000,015

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 11,000,015.

Example:
1 x 11,000,015 = 11,000,015
and
-1 x -11,000,015 = 11,000,015
Notice both answers equal 11,000,015

With that explanation out of the way, let's continue. Next, we take the number 11,000,015 and divide it by 2:

11,000,015 ÷ 2 = 5,500,007.5

If the quotient is a whole number, then 2 and 5,500,007.5 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 11,000,015
-1 -11,000,015

Now, we try dividing 11,000,015 by 3:

11,000,015 ÷ 3 = 3,666,671.6667

If the quotient is a whole number, then 3 and 3,666,671.6667 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 11,000,015
-1 -11,000,015

Let's try dividing by 4:

11,000,015 ÷ 4 = 2,750,003.75

If the quotient is a whole number, then 4 and 2,750,003.75 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 11,000,015
-1 11,000,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652297391,1452,9773,6959,60714,88548,035169,231846,1552,200,00311,000,015
-1-5-13-65-229-739-1,145-2,977-3,695-9,607-14,885-48,035-169,231-846,155-2,200,003-11,000,015

More Examples

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