Q: What are the factor combinations of the number 702,063,665?

 A:
Positive:   1 x 7020636655 x 14041273331 x 22647215155 x 45294431063 x 6604554261 x 1647655315 x 13209121305 x 32953
Negative: -1 x -702063665-5 x -140412733-31 x -22647215-155 x -4529443-1063 x -660455-4261 x -164765-5315 x -132091-21305 x -32953


How do I find the factor combinations of the number 702,063,665?

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 702,063,665, 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.

1 702,063,665
-1 -702,063,665

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 702,063,665.

Example:
1 x 702,063,665 = 702,063,665
and
-1 x -702,063,665 = 702,063,665
Notice both answers equal 702,063,665

With that explanation out of the way, let's continue. Next, we take the number 702,063,665 and divide it by 2:

702,063,665 ÷ 2 = 351,031,832.5

If the quotient is a whole number, then 2 and 351,031,832.5 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:

1 702,063,665
-1 -702,063,665

Now, we try dividing 702,063,665 by 3:

702,063,665 ÷ 3 = 234,021,221.6667

If the quotient is a whole number, then 3 and 234,021,221.6667 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:

1 702,063,665
-1 -702,063,665

Let's try dividing by 4:

702,063,665 ÷ 4 = 175,515,916.25

If the quotient is a whole number, then 4 and 175,515,916.25 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:

1 702,063,665
-1 702,063,665
Keep dividing by the next highest number until you cannot divide anymore.

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

15311551,0634,2615,31521,30532,953132,091164,765660,4554,529,44322,647,215140,412,733702,063,665
-1-5-31-155-1,063-4,261-5,315-21,305-32,953-132,091-164,765-660,455-4,529,443-22,647,215-140,412,733-702,063,665

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