Q: What are the factor combinations of the number 12,011,153?

 A:
Positive:   1 x 120111537 x 171587911 x 109192377 x 155989389 x 30877401 x 299532723 x 44112807 x 4279
Negative: -1 x -12011153-7 x -1715879-11 x -1091923-77 x -155989-389 x -30877-401 x -29953-2723 x -4411-2807 x -4279


How do I find the factor combinations of the number 12,011,153?

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 12,011,153, 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 12,011,153
-1 -12,011,153

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 12,011,153.

Example:
1 x 12,011,153 = 12,011,153
and
-1 x -12,011,153 = 12,011,153
Notice both answers equal 12,011,153

With that explanation out of the way, let's continue. Next, we take the number 12,011,153 and divide it by 2:

12,011,153 ÷ 2 = 6,005,576.5

If the quotient is a whole number, then 2 and 6,005,576.5 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 12,011,153
-1 -12,011,153

Now, we try dividing 12,011,153 by 3:

12,011,153 ÷ 3 = 4,003,717.6667

If the quotient is a whole number, then 3 and 4,003,717.6667 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 12,011,153
-1 -12,011,153

Let's try dividing by 4:

12,011,153 ÷ 4 = 3,002,788.25

If the quotient is a whole number, then 4 and 3,002,788.25 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 12,011,153
-1 12,011,153
Keep dividing by the next highest number until you cannot divide anymore.

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

1711773894012,7232,8074,2794,41129,95330,877155,9891,091,9231,715,87912,011,153
-1-7-11-77-389-401-2,723-2,807-4,279-4,411-29,953-30,877-155,989-1,091,923-1,715,879-12,011,153

More Examples

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