Q: What are the factor combinations of the number 71,211,469?

 A:
Positive:   1 x 712114697 x 1017306779 x 901411131 x 543599553 x 128773917 x 77657983 x 724436881 x 10349
Negative: -1 x -71211469-7 x -10173067-79 x -901411-131 x -543599-553 x -128773-917 x -77657-983 x -72443-6881 x -10349


How do I find the factor combinations of the number 71,211,469?

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 71,211,469, 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 71,211,469
-1 -71,211,469

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 71,211,469.

Example:
1 x 71,211,469 = 71,211,469
and
-1 x -71,211,469 = 71,211,469
Notice both answers equal 71,211,469

With that explanation out of the way, let's continue. Next, we take the number 71,211,469 and divide it by 2:

71,211,469 ÷ 2 = 35,605,734.5

If the quotient is a whole number, then 2 and 35,605,734.5 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 71,211,469
-1 -71,211,469

Now, we try dividing 71,211,469 by 3:

71,211,469 ÷ 3 = 23,737,156.3333

If the quotient is a whole number, then 3 and 23,737,156.3333 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 71,211,469
-1 -71,211,469

Let's try dividing by 4:

71,211,469 ÷ 4 = 17,802,867.25

If the quotient is a whole number, then 4 and 17,802,867.25 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 71,211,469
-1 71,211,469
Keep dividing by the next highest number until you cannot divide anymore.

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

17791315539179836,88110,34972,44377,657128,773543,599901,41110,173,06771,211,469
-1-7-79-131-553-917-983-6,881-10,349-72,443-77,657-128,773-543,599-901,411-10,173,067-71,211,469

More Examples

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