Q: What are the factor combinations of the number 704,566,375?

 A:
Positive:   1 x 7045663755 x 14091327525 x 28182655125 x 5636531179 x 3936125895 x 7872254475 x 15744522375 x 31489
Negative: -1 x -704566375-5 x -140913275-25 x -28182655-125 x -5636531-179 x -3936125-895 x -787225-4475 x -157445-22375 x -31489


How do I find the factor combinations of the number 704,566,375?

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 704,566,375, 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.

1 704,566,375
-1 -704,566,375

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 704,566,375.

Example:
1 x 704,566,375 = 704,566,375
and
-1 x -704,566,375 = 704,566,375
Notice both answers equal 704,566,375

With that explanation out of the way, let's continue. Next, we take the number 704,566,375 and divide it by 2:

704,566,375 ÷ 2 = 352,283,187.5

If the quotient is a whole number, then 2 and 352,283,187.5 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:

1 704,566,375
-1 -704,566,375

Now, we try dividing 704,566,375 by 3:

704,566,375 ÷ 3 = 234,855,458.3333

If the quotient is a whole number, then 3 and 234,855,458.3333 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:

1 704,566,375
-1 -704,566,375

Let's try dividing by 4:

704,566,375 ÷ 4 = 176,141,593.75

If the quotient is a whole number, then 4 and 176,141,593.75 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:

1 704,566,375
-1 704,566,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251798954,47522,37531,489157,445787,2253,936,1255,636,53128,182,655140,913,275704,566,375
-1-5-25-125-179-895-4,475-22,375-31,489-157,445-787,225-3,936,125-5,636,531-28,182,655-140,913,275-704,566,375

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