Q: What are the factor combinations of the number 227,010,071?

 A:
Positive:   1 x 22701007141 x 553683173 x 31097271039 x 2184892993 x 758475329 x 42599
Negative: -1 x -227010071-41 x -5536831-73 x -3109727-1039 x -218489-2993 x -75847-5329 x -42599


How do I find the factor combinations of the number 227,010,071?

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 227,010,071, 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.

1 227,010,071
-1 -227,010,071

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 227,010,071.

Example:
1 x 227,010,071 = 227,010,071
and
-1 x -227,010,071 = 227,010,071
Notice both answers equal 227,010,071

With that explanation out of the way, let's continue. Next, we take the number 227,010,071 and divide it by 2:

227,010,071 ÷ 2 = 113,505,035.5

If the quotient is a whole number, then 2 and 113,505,035.5 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:

1 227,010,071
-1 -227,010,071

Now, we try dividing 227,010,071 by 3:

227,010,071 ÷ 3 = 75,670,023.6667

If the quotient is a whole number, then 3 and 75,670,023.6667 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:

1 227,010,071
-1 -227,010,071

Let's try dividing by 4:

227,010,071 ÷ 4 = 56,752,517.75

If the quotient is a whole number, then 4 and 56,752,517.75 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:

1 227,010,071
-1 227,010,071
Keep dividing by the next highest number until you cannot divide anymore.

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

141731,0392,9935,32942,59975,847218,4893,109,7275,536,831227,010,071
-1-41-73-1,039-2,993-5,329-42,599-75,847-218,489-3,109,727-5,536,831-227,010,071

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