Q: What are the factor combinations of the number 71,017,675?

 A:
Positive:   1 x 710176755 x 1420353523 x 308772525 x 2840707113 x 628475115 x 617545565 x 125695575 x 1235091093 x 649752599 x 273252825 x 251395465 x 12995
Negative: -1 x -71017675-5 x -14203535-23 x -3087725-25 x -2840707-113 x -628475-115 x -617545-565 x -125695-575 x -123509-1093 x -64975-2599 x -27325-2825 x -25139-5465 x -12995


How do I find the factor combinations of the number 71,017,675?

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 71,017,675, 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 71,017,675
-1 -71,017,675

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 71,017,675.

Example:
1 x 71,017,675 = 71,017,675
and
-1 x -71,017,675 = 71,017,675
Notice both answers equal 71,017,675

With that explanation out of the way, let's continue. Next, we take the number 71,017,675 and divide it by 2:

71,017,675 ÷ 2 = 35,508,837.5

If the quotient is a whole number, then 2 and 35,508,837.5 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 71,017,675
-1 -71,017,675

Now, we try dividing 71,017,675 by 3:

71,017,675 ÷ 3 = 23,672,558.3333

If the quotient is a whole number, then 3 and 23,672,558.3333 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 71,017,675
-1 -71,017,675

Let's try dividing by 4:

71,017,675 ÷ 4 = 17,754,418.75

If the quotient is a whole number, then 4 and 17,754,418.75 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 71,017,675
-1 71,017,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251131155655751,0932,5992,8255,46512,99525,13927,32564,975123,509125,695617,545628,4752,840,7073,087,72514,203,53571,017,675
-1-5-23-25-113-115-565-575-1,093-2,599-2,825-5,465-12,995-25,139-27,325-64,975-123,509-125,695-617,545-628,475-2,840,707-3,087,725-14,203,535-71,017,675

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