Q: What are the factor combinations of the number 42,223,423?

 A:
Positive:   1 x 4222342311 x 383849323 x 1835801157 x 268939253 x 1668911063 x 397211727 x 244493611 x 11693
Negative: -1 x -42223423-11 x -3838493-23 x -1835801-157 x -268939-253 x -166891-1063 x -39721-1727 x -24449-3611 x -11693


How do I find the factor combinations of the number 42,223,423?

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 42,223,423, 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 42,223,423
-1 -42,223,423

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 42,223,423.

Example:
1 x 42,223,423 = 42,223,423
and
-1 x -42,223,423 = 42,223,423
Notice both answers equal 42,223,423

With that explanation out of the way, let's continue. Next, we take the number 42,223,423 and divide it by 2:

42,223,423 ÷ 2 = 21,111,711.5

If the quotient is a whole number, then 2 and 21,111,711.5 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 42,223,423
-1 -42,223,423

Now, we try dividing 42,223,423 by 3:

42,223,423 ÷ 3 = 14,074,474.3333

If the quotient is a whole number, then 3 and 14,074,474.3333 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 42,223,423
-1 -42,223,423

Let's try dividing by 4:

42,223,423 ÷ 4 = 10,555,855.75

If the quotient is a whole number, then 4 and 10,555,855.75 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 42,223,423
-1 42,223,423
Keep dividing by the next highest number until you cannot divide anymore.

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

111231572531,0631,7273,61111,69324,44939,721166,891268,9391,835,8013,838,49342,223,423
-1-11-23-157-253-1,063-1,727-3,611-11,693-24,449-39,721-166,891-268,939-1,835,801-3,838,493-42,223,423

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