Q: What are the factor combinations of the number 59,449?
A:
Positive:
1 x 5944913 x 457317 x 3497221 x 269
Negative:
-1 x -59449-13 x -4573-17 x -3497-221 x -269
A:
Positive:
1 x 5944913 x 457317 x 3497221 x 269
Negative:
-1 x -59449-13 x -4573-17 x -3497-221 x -269
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 59,449, 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 | 59,449 | |
-1 | -59,449 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 59,449.
Example:
1 x 59,449 = 59,449
and
-1 x -59,449 = 59,449
Notice both answers equal 59,449
With that explanation out of the way, let's continue. Next, we take the number 59,449 and divide it by 2:
59,449 ÷ 2 = 29,724.5
If the quotient is a whole number, then 2 and 29,724.5 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 | 59,449 | |
-1 | -59,449 |
Now, we try dividing 59,449 by 3:
59,449 ÷ 3 = 19,816.3333
If the quotient is a whole number, then 3 and 19,816.3333 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 | 59,449 | |
-1 | -59,449 |
Let's try dividing by 4:
59,449 ÷ 4 = 14,862.25
If the quotient is a whole number, then 4 and 14,862.25 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 | 59,449 | |
-1 | 59,449 |
If you did it right, you will end up with this table:
1 | 13 | 17 | 221 | 269 | 3,497 | 4,573 | 59,449 |
-1 | -13 | -17 | -221 | -269 | -3,497 | -4,573 | -59,449 |
Here are some more numbers to try:
Try the factor calculator