Q: What are the factor combinations of the number 469,553?
A:
Positive:
1 x 4695537 x 67079
Negative:
-1 x -469553-7 x -67079
A:
Positive:
1 x 4695537 x 67079
Negative:
-1 x -469553-7 x -67079
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 469,553, 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 | 469,553 | |
-1 | -469,553 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 469,553.
Example:
1 x 469,553 = 469,553
and
-1 x -469,553 = 469,553
Notice both answers equal 469,553
With that explanation out of the way, let's continue. Next, we take the number 469,553 and divide it by 2:
469,553 ÷ 2 = 234,776.5
If the quotient is a whole number, then 2 and 234,776.5 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 | 469,553 | |
-1 | -469,553 |
Now, we try dividing 469,553 by 3:
469,553 ÷ 3 = 156,517.6667
If the quotient is a whole number, then 3 and 156,517.6667 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 | 469,553 | |
-1 | -469,553 |
Let's try dividing by 4:
469,553 ÷ 4 = 117,388.25
If the quotient is a whole number, then 4 and 117,388.25 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 | 469,553 | |
-1 | 469,553 |
If you did it right, you will end up with this table:
1 | 7 | 67,079 | 469,553 |
-1 | -7 | -67,079 | -469,553 |
Here are some more numbers to try:
Try the factor calculator