Q: What are the factor combinations of the number 71,317,211?

 A:
Positive:   1 x 713172117 x 10188173101 x 706111149 x 478639677 x 105343707 x 1008731043 x 683774739 x 15049
Negative: -1 x -71317211-7 x -10188173-101 x -706111-149 x -478639-677 x -105343-707 x -100873-1043 x -68377-4739 x -15049


How do I find the factor combinations of the number 71,317,211?

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 71,317,211, 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 71,317,211
-1 -71,317,211

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 71,317,211.

Example:
1 x 71,317,211 = 71,317,211
and
-1 x -71,317,211 = 71,317,211
Notice both answers equal 71,317,211

With that explanation out of the way, let's continue. Next, we take the number 71,317,211 and divide it by 2:

71,317,211 ÷ 2 = 35,658,605.5

If the quotient is a whole number, then 2 and 35,658,605.5 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 71,317,211
-1 -71,317,211

Now, we try dividing 71,317,211 by 3:

71,317,211 ÷ 3 = 23,772,403.6667

If the quotient is a whole number, then 3 and 23,772,403.6667 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 71,317,211
-1 -71,317,211

Let's try dividing by 4:

71,317,211 ÷ 4 = 17,829,302.75

If the quotient is a whole number, then 4 and 17,829,302.75 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 71,317,211
-1 71,317,211
Keep dividing by the next highest number until you cannot divide anymore.

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

171011496777071,0434,73915,04968,377100,873105,343478,639706,11110,188,17371,317,211
-1-7-101-149-677-707-1,043-4,739-15,049-68,377-100,873-105,343-478,639-706,111-10,188,173-71,317,211

More Examples

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