Q: What are the factor combinations of the number 716,135?

 A:
Positive:   1 x 7161355 x 1432277 x 10230535 x 2046137 x 1935549 x 1461579 x 9065185 x 3871245 x 2923259 x 2765395 x 1813553 x 1295
Negative: -1 x -716135-5 x -143227-7 x -102305-35 x -20461-37 x -19355-49 x -14615-79 x -9065-185 x -3871-245 x -2923-259 x -2765-395 x -1813-553 x -1295


How do I find the factor combinations of the number 716,135?

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 716,135, 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.

1 716,135
-1 -716,135

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 716,135.

Example:
1 x 716,135 = 716,135
and
-1 x -716,135 = 716,135
Notice both answers equal 716,135

With that explanation out of the way, let's continue. Next, we take the number 716,135 and divide it by 2:

716,135 ÷ 2 = 358,067.5

If the quotient is a whole number, then 2 and 358,067.5 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:

1 716,135
-1 -716,135

Now, we try dividing 716,135 by 3:

716,135 ÷ 3 = 238,711.6667

If the quotient is a whole number, then 3 and 238,711.6667 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:

1 716,135
-1 -716,135

Let's try dividing by 4:

716,135 ÷ 4 = 179,033.75

If the quotient is a whole number, then 4 and 179,033.75 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:

1 716,135
-1 716,135
Keep dividing by the next highest number until you cannot divide anymore.

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

157353749791852452593955531,2951,8132,7652,9233,8719,06514,61519,35520,461102,305143,227716,135
-1-5-7-35-37-49-79-185-245-259-395-553-1,295-1,813-2,765-2,923-3,871-9,065-14,615-19,355-20,461-102,305-143,227-716,135

More Examples

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