Q: What are the factor combinations of the number 422,105,515?

 A:
Positive:   1 x 4221055155 x 8442110313 x 3246965553 x 796425565 x 6493931265 x 1592851689 x 6126353445 x 122527
Negative: -1 x -422105515-5 x -84421103-13 x -32469655-53 x -7964255-65 x -6493931-265 x -1592851-689 x -612635-3445 x -122527


How do I find the factor combinations of the number 422,105,515?

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 422,105,515, 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.

1 422,105,515
-1 -422,105,515

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 422,105,515.

Example:
1 x 422,105,515 = 422,105,515
and
-1 x -422,105,515 = 422,105,515
Notice both answers equal 422,105,515

With that explanation out of the way, let's continue. Next, we take the number 422,105,515 and divide it by 2:

422,105,515 ÷ 2 = 211,052,757.5

If the quotient is a whole number, then 2 and 211,052,757.5 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:

1 422,105,515
-1 -422,105,515

Now, we try dividing 422,105,515 by 3:

422,105,515 ÷ 3 = 140,701,838.3333

If the quotient is a whole number, then 3 and 140,701,838.3333 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:

1 422,105,515
-1 -422,105,515

Let's try dividing by 4:

422,105,515 ÷ 4 = 105,526,378.75

If the quotient is a whole number, then 4 and 105,526,378.75 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:

1 422,105,515
-1 422,105,515
Keep dividing by the next highest number until you cannot divide anymore.

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

151353652656893,445122,527612,6351,592,8516,493,9317,964,25532,469,65584,421,103422,105,515
-1-5-13-53-65-265-689-3,445-122,527-612,635-1,592,851-6,493,931-7,964,255-32,469,655-84,421,103-422,105,515

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