Q: What are the factor combinations of the number 71,404,135?

 A:
Positive:   1 x 714041355 x 1428082711 x 649128555 x 1298257113 x 631895565 x 1263791243 x 574456215 x 11489
Negative: -1 x -71404135-5 x -14280827-11 x -6491285-55 x -1298257-113 x -631895-565 x -126379-1243 x -57445-6215 x -11489


How do I find the factor combinations of the number 71,404,135?

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 71,404,135, 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 71,404,135
-1 -71,404,135

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 71,404,135.

Example:
1 x 71,404,135 = 71,404,135
and
-1 x -71,404,135 = 71,404,135
Notice both answers equal 71,404,135

With that explanation out of the way, let's continue. Next, we take the number 71,404,135 and divide it by 2:

71,404,135 ÷ 2 = 35,702,067.5

If the quotient is a whole number, then 2 and 35,702,067.5 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 71,404,135
-1 -71,404,135

Now, we try dividing 71,404,135 by 3:

71,404,135 ÷ 3 = 23,801,378.3333

If the quotient is a whole number, then 3 and 23,801,378.3333 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 71,404,135
-1 -71,404,135

Let's try dividing by 4:

71,404,135 ÷ 4 = 17,851,033.75

If the quotient is a whole number, then 4 and 17,851,033.75 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 71,404,135
-1 71,404,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551135651,2436,21511,48957,445126,379631,8951,298,2576,491,28514,280,82771,404,135
-1-5-11-55-113-565-1,243-6,215-11,489-57,445-126,379-631,895-1,298,257-6,491,285-14,280,827-71,404,135

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