Q: What are the factor combinations of the number 708,714,307?

 A:
Positive:   1 x 7087143077 x 10124490119 x 37300753133 x 5328679383 x 18504292681 x 2643477277 x 9739113913 x 50939
Negative: -1 x -708714307-7 x -101244901-19 x -37300753-133 x -5328679-383 x -1850429-2681 x -264347-7277 x -97391-13913 x -50939


How do I find the factor combinations of the number 708,714,307?

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 708,714,307, 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.

1 708,714,307
-1 -708,714,307

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 708,714,307.

Example:
1 x 708,714,307 = 708,714,307
and
-1 x -708,714,307 = 708,714,307
Notice both answers equal 708,714,307

With that explanation out of the way, let's continue. Next, we take the number 708,714,307 and divide it by 2:

708,714,307 ÷ 2 = 354,357,153.5

If the quotient is a whole number, then 2 and 354,357,153.5 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:

1 708,714,307
-1 -708,714,307

Now, we try dividing 708,714,307 by 3:

708,714,307 ÷ 3 = 236,238,102.3333

If the quotient is a whole number, then 3 and 236,238,102.3333 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:

1 708,714,307
-1 -708,714,307

Let's try dividing by 4:

708,714,307 ÷ 4 = 177,178,576.75

If the quotient is a whole number, then 4 and 177,178,576.75 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:

1 708,714,307
-1 708,714,307
Keep dividing by the next highest number until you cannot divide anymore.

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

17191333832,6817,27713,91350,93997,391264,3471,850,4295,328,67937,300,753101,244,901708,714,307
-1-7-19-133-383-2,681-7,277-13,913-50,939-97,391-264,347-1,850,429-5,328,679-37,300,753-101,244,901-708,714,307

More Examples

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