Q: What are the factor combinations of the number 42,284,291?

 A:
Positive:   1 x 422842917 x 604061319 x 222548929 x 1458079133 x 317927203 x 208297361 x 117131551 x 76741577 x 732832527 x 167333857 x 109634039 x 10469
Negative: -1 x -42284291-7 x -6040613-19 x -2225489-29 x -1458079-133 x -317927-203 x -208297-361 x -117131-551 x -76741-577 x -73283-2527 x -16733-3857 x -10963-4039 x -10469


How do I find the factor combinations of the number 42,284,291?

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 42,284,291, 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 42,284,291
-1 -42,284,291

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 42,284,291.

Example:
1 x 42,284,291 = 42,284,291
and
-1 x -42,284,291 = 42,284,291
Notice both answers equal 42,284,291

With that explanation out of the way, let's continue. Next, we take the number 42,284,291 and divide it by 2:

42,284,291 ÷ 2 = 21,142,145.5

If the quotient is a whole number, then 2 and 21,142,145.5 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 42,284,291
-1 -42,284,291

Now, we try dividing 42,284,291 by 3:

42,284,291 ÷ 3 = 14,094,763.6667

If the quotient is a whole number, then 3 and 14,094,763.6667 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 42,284,291
-1 -42,284,291

Let's try dividing by 4:

42,284,291 ÷ 4 = 10,571,072.75

If the quotient is a whole number, then 4 and 10,571,072.75 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 42,284,291
-1 42,284,291
Keep dividing by the next highest number until you cannot divide anymore.

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

1719291332033615515772,5273,8574,03910,46910,96316,73373,28376,741117,131208,297317,9271,458,0792,225,4896,040,61342,284,291
-1-7-19-29-133-203-361-551-577-2,527-3,857-4,039-10,469-10,963-16,733-73,283-76,741-117,131-208,297-317,927-1,458,079-2,225,489-6,040,613-42,284,291

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