Q: What are the factor combinations of the number 42,804,215?

 A:
Positive:   1 x 428042155 x 856084317 x 251789585 x 503579433 x 988551163 x 368052165 x 197715815 x 7361
Negative: -1 x -42804215-5 x -8560843-17 x -2517895-85 x -503579-433 x -98855-1163 x -36805-2165 x -19771-5815 x -7361


How do I find the factor combinations of the number 42,804,215?

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 42,804,215, 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 42,804,215
-1 -42,804,215

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 42,804,215.

Example:
1 x 42,804,215 = 42,804,215
and
-1 x -42,804,215 = 42,804,215
Notice both answers equal 42,804,215

With that explanation out of the way, let's continue. Next, we take the number 42,804,215 and divide it by 2:

42,804,215 ÷ 2 = 21,402,107.5

If the quotient is a whole number, then 2 and 21,402,107.5 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 42,804,215
-1 -42,804,215

Now, we try dividing 42,804,215 by 3:

42,804,215 ÷ 3 = 14,268,071.6667

If the quotient is a whole number, then 3 and 14,268,071.6667 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 42,804,215
-1 -42,804,215

Let's try dividing by 4:

42,804,215 ÷ 4 = 10,701,053.75

If the quotient is a whole number, then 4 and 10,701,053.75 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 42,804,215
-1 42,804,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1517854331,1632,1655,8157,36119,77136,80598,855503,5792,517,8958,560,84342,804,215
-1-5-17-85-433-1,163-2,165-5,815-7,361-19,771-36,805-98,855-503,579-2,517,895-8,560,843-42,804,215

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