Q: What are the factor combinations of the number 704,335?
A:
Positive:
1 x 7043355 x 140867
Negative:
-1 x -704335-5 x -140867
A:
Positive:
1 x 7043355 x 140867
Negative:
-1 x -704335-5 x -140867
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 704,335, it is easier to work with a table - it's called factoring from the outside in.
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 | 704,335 | |
-1 | -704,335 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 704,335.
Example:
1 x 704,335 = 704,335
and
-1 x -704,335 = 704,335
Notice both answers equal 704,335
With that explanation out of the way, let's continue. Next, we take the number 704,335 and divide it by 2:
704,335 ÷ 2 = 352,167.5
If the quotient is a whole number, then 2 and 352,167.5 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 | 704,335 | |
-1 | -704,335 |
Now, we try dividing 704,335 by 3:
704,335 ÷ 3 = 234,778.3333
If the quotient is a whole number, then 3 and 234,778.3333 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 | 704,335 | |
-1 | -704,335 |
Let's try dividing by 4:
704,335 ÷ 4 = 176,083.75
If the quotient is a whole number, then 4 and 176,083.75 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 | 704,335 | |
-1 | 704,335 |
If you did it right, you will end up with this table:
1 | 5 | 140,867 | 704,335 |
-1 | -5 | -140,867 | -704,335 |
Here are some more numbers to try:
Try the factor calculator