Q: What are the factor combinations of the number 12,042,395?

 A:
Positive:   1 x 120423955 x 240847929 x 41525553 x 227215145 x 83051265 x 454431537 x 78351567 x 7685
Negative: -1 x -12042395-5 x -2408479-29 x -415255-53 x -227215-145 x -83051-265 x -45443-1537 x -7835-1567 x -7685


How do I find the factor combinations of the number 12,042,395?

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 12,042,395, 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 12,042,395
-1 -12,042,395

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 12,042,395.

Example:
1 x 12,042,395 = 12,042,395
and
-1 x -12,042,395 = 12,042,395
Notice both answers equal 12,042,395

With that explanation out of the way, let's continue. Next, we take the number 12,042,395 and divide it by 2:

12,042,395 ÷ 2 = 6,021,197.5

If the quotient is a whole number, then 2 and 6,021,197.5 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 12,042,395
-1 -12,042,395

Now, we try dividing 12,042,395 by 3:

12,042,395 ÷ 3 = 4,014,131.6667

If the quotient is a whole number, then 3 and 4,014,131.6667 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 12,042,395
-1 -12,042,395

Let's try dividing by 4:

12,042,395 ÷ 4 = 3,010,598.75

If the quotient is a whole number, then 4 and 3,010,598.75 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 12,042,395
-1 12,042,395
Keep dividing by the next highest number until you cannot divide anymore.

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

1529531452651,5371,5677,6857,83545,44383,051227,215415,2552,408,47912,042,395
-1-5-29-53-145-265-1,537-1,567-7,685-7,835-45,443-83,051-227,215-415,255-2,408,479-12,042,395

More Examples

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