Q: What are the factor combinations of the number 704,851?
A:
Positive:
1 x 7048517 x 100693
Negative:
-1 x -704851-7 x -100693
A:
Positive:
1 x 7048517 x 100693
Negative:
-1 x -704851-7 x -100693
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 704,851, 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 | 704,851 | |
-1 | -704,851 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 704,851.
Example:
1 x 704,851 = 704,851
and
-1 x -704,851 = 704,851
Notice both answers equal 704,851
With that explanation out of the way, let's continue. Next, we take the number 704,851 and divide it by 2:
704,851 ÷ 2 = 352,425.5
If the quotient is a whole number, then 2 and 352,425.5 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 | 704,851 | |
-1 | -704,851 |
Now, we try dividing 704,851 by 3:
704,851 ÷ 3 = 234,950.3333
If the quotient is a whole number, then 3 and 234,950.3333 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 | 704,851 | |
-1 | -704,851 |
Let's try dividing by 4:
704,851 ÷ 4 = 176,212.75
If the quotient is a whole number, then 4 and 176,212.75 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 | 704,851 | |
-1 | 704,851 |
If you did it right, you will end up with this table:
1 | 7 | 100,693 | 704,851 |
-1 | -7 | -100,693 | -704,851 |
Here are some more numbers to try:
Try the factor calculator