Q: What are the factor combinations of the number 71,380,715?

 A:
Positive:   1 x 713807155 x 142761437 x 1019724535 x 2039449233 x 3063551165 x 612711631 x 437658155 x 8753
Negative: -1 x -71380715-5 x -14276143-7 x -10197245-35 x -2039449-233 x -306355-1165 x -61271-1631 x -43765-8155 x -8753


How do I find the factor combinations of the number 71,380,715?

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 71,380,715, 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 71,380,715
-1 -71,380,715

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 71,380,715.

Example:
1 x 71,380,715 = 71,380,715
and
-1 x -71,380,715 = 71,380,715
Notice both answers equal 71,380,715

With that explanation out of the way, let's continue. Next, we take the number 71,380,715 and divide it by 2:

71,380,715 ÷ 2 = 35,690,357.5

If the quotient is a whole number, then 2 and 35,690,357.5 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 71,380,715
-1 -71,380,715

Now, we try dividing 71,380,715 by 3:

71,380,715 ÷ 3 = 23,793,571.6667

If the quotient is a whole number, then 3 and 23,793,571.6667 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 71,380,715
-1 -71,380,715

Let's try dividing by 4:

71,380,715 ÷ 4 = 17,845,178.75

If the quotient is a whole number, then 4 and 17,845,178.75 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 71,380,715
-1 71,380,715
Keep dividing by the next highest number until you cannot divide anymore.

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

157352331,1651,6318,1558,75343,76561,271306,3552,039,44910,197,24514,276,14371,380,715
-1-5-7-35-233-1,165-1,631-8,155-8,753-43,765-61,271-306,355-2,039,449-10,197,245-14,276,143-71,380,715

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