Q: What are the factor combinations of the number 707,575?

 A:
Positive:   1 x 7075755 x 14151511 x 6432525 x 2830331 x 2282555 x 1286583 x 8525155 x 4565275 x 2573341 x 2075415 x 1705775 x 913
Negative: -1 x -707575-5 x -141515-11 x -64325-25 x -28303-31 x -22825-55 x -12865-83 x -8525-155 x -4565-275 x -2573-341 x -2075-415 x -1705-775 x -913


How do I find the factor combinations of the number 707,575?

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 707,575, 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.

1 707,575
-1 -707,575

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 707,575.

Example:
1 x 707,575 = 707,575
and
-1 x -707,575 = 707,575
Notice both answers equal 707,575

With that explanation out of the way, let's continue. Next, we take the number 707,575 and divide it by 2:

707,575 ÷ 2 = 353,787.5

If the quotient is a whole number, then 2 and 353,787.5 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:

1 707,575
-1 -707,575

Now, we try dividing 707,575 by 3:

707,575 ÷ 3 = 235,858.3333

If the quotient is a whole number, then 3 and 235,858.3333 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:

1 707,575
-1 -707,575

Let's try dividing by 4:

707,575 ÷ 4 = 176,893.75

If the quotient is a whole number, then 4 and 176,893.75 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:

1 707,575
-1 707,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1511253155831552753414157759131,7052,0752,5734,5658,52512,86522,82528,30364,325141,515707,575
-1-5-11-25-31-55-83-155-275-341-415-775-913-1,705-2,075-2,573-4,565-8,525-12,865-22,825-28,303-64,325-141,515-707,575

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