Q: What are the factor combinations of the number 70,649?
A:
Positive:
1 x 7064931 x 227943 x 164353 x 1333
Negative:
-1 x -70649-31 x -2279-43 x -1643-53 x -1333
A:
Positive:
1 x 7064931 x 227943 x 164353 x 1333
Negative:
-1 x -70649-31 x -2279-43 x -1643-53 x -1333
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 70,649, 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 | 70,649 | |
-1 | -70,649 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 70,649.
Example:
1 x 70,649 = 70,649
and
-1 x -70,649 = 70,649
Notice both answers equal 70,649
With that explanation out of the way, let's continue. Next, we take the number 70,649 and divide it by 2:
70,649 ÷ 2 = 35,324.5
If the quotient is a whole number, then 2 and 35,324.5 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 | 70,649 | |
-1 | -70,649 |
Now, we try dividing 70,649 by 3:
70,649 ÷ 3 = 23,549.6667
If the quotient is a whole number, then 3 and 23,549.6667 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 | 70,649 | |
-1 | -70,649 |
Let's try dividing by 4:
70,649 ÷ 4 = 17,662.25
If the quotient is a whole number, then 4 and 17,662.25 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 | 70,649 | |
-1 | 70,649 |
If you did it right, you will end up with this table:
1 | 31 | 43 | 53 | 1,333 | 1,643 | 2,279 | 70,649 |
-1 | -31 | -43 | -53 | -1,333 | -1,643 | -2,279 | -70,649 |
Here are some more numbers to try:
Try the factor calculator