Q: What are the factor combinations of the number 717,540,229?

 A:
Positive:   1 x 7175402297 x 10250574731 x 2314645983 x 8645063217 x 3306637581 x 12350092573 x 27887318011 x 39839
Negative: -1 x -717540229-7 x -102505747-31 x -23146459-83 x -8645063-217 x -3306637-581 x -1235009-2573 x -278873-18011 x -39839


How do I find the factor combinations of the number 717,540,229?

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 717,540,229, 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.

1 717,540,229
-1 -717,540,229

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 717,540,229.

Example:
1 x 717,540,229 = 717,540,229
and
-1 x -717,540,229 = 717,540,229
Notice both answers equal 717,540,229

With that explanation out of the way, let's continue. Next, we take the number 717,540,229 and divide it by 2:

717,540,229 ÷ 2 = 358,770,114.5

If the quotient is a whole number, then 2 and 358,770,114.5 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:

1 717,540,229
-1 -717,540,229

Now, we try dividing 717,540,229 by 3:

717,540,229 ÷ 3 = 239,180,076.3333

If the quotient is a whole number, then 3 and 239,180,076.3333 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:

1 717,540,229
-1 -717,540,229

Let's try dividing by 4:

717,540,229 ÷ 4 = 179,385,057.25

If the quotient is a whole number, then 4 and 179,385,057.25 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:

1 717,540,229
-1 717,540,229
Keep dividing by the next highest number until you cannot divide anymore.

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

1731832175812,57318,01139,839278,8731,235,0093,306,6378,645,06323,146,459102,505,747717,540,229
-1-7-31-83-217-581-2,573-18,011-39,839-278,873-1,235,009-3,306,637-8,645,063-23,146,459-102,505,747-717,540,229

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