Q: What are the factor combinations of the number 42,240,211?

 A:
Positive:   1 x 4224021113 x 324924719 x 222316929 x 1456559247 x 171013377 x 112043551 x 766615897 x 7163
Negative: -1 x -42240211-13 x -3249247-19 x -2223169-29 x -1456559-247 x -171013-377 x -112043-551 x -76661-5897 x -7163


How do I find the factor combinations of the number 42,240,211?

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 42,240,211, 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 42,240,211
-1 -42,240,211

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 42,240,211.

Example:
1 x 42,240,211 = 42,240,211
and
-1 x -42,240,211 = 42,240,211
Notice both answers equal 42,240,211

With that explanation out of the way, let's continue. Next, we take the number 42,240,211 and divide it by 2:

42,240,211 ÷ 2 = 21,120,105.5

If the quotient is a whole number, then 2 and 21,120,105.5 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 42,240,211
-1 -42,240,211

Now, we try dividing 42,240,211 by 3:

42,240,211 ÷ 3 = 14,080,070.3333

If the quotient is a whole number, then 3 and 14,080,070.3333 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 42,240,211
-1 -42,240,211

Let's try dividing by 4:

42,240,211 ÷ 4 = 10,560,052.75

If the quotient is a whole number, then 4 and 10,560,052.75 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 42,240,211
-1 42,240,211
Keep dividing by the next highest number until you cannot divide anymore.

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

11319292473775515,8977,16376,661112,043171,0131,456,5592,223,1693,249,24742,240,211
-1-13-19-29-247-377-551-5,897-7,163-76,661-112,043-171,013-1,456,559-2,223,169-3,249,247-42,240,211

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