Q: What are the factor combinations of the number 553,434,814?
A:
Positive:
1 x 5534348142 x 276717407
Negative:
-1 x -553434814-2 x -276717407
A:
Positive:
1 x 5534348142 x 276717407
Negative:
-1 x -553434814-2 x -276717407
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 553,434,814, 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 | 553,434,814 | |
-1 | -553,434,814 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 553,434,814.
Example:
1 x 553,434,814 = 553,434,814
and
-1 x -553,434,814 = 553,434,814
Notice both answers equal 553,434,814
With that explanation out of the way, let's continue. Next, we take the number 553,434,814 and divide it by 2:
553,434,814 ÷ 2 = 276,717,407
If the quotient is a whole number, then 2 and 276,717,407 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
1 | 2 | 276,717,407 | 553,434,814 | |
-1 | -2 | -276,717,407 | -553,434,814 |
Now, we try dividing 553,434,814 by 3:
553,434,814 ÷ 3 = 184,478,271.3333
If the quotient is a whole number, then 3 and 184,478,271.3333 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 | 2 | 276,717,407 | 553,434,814 | |
-1 | -2 | -276,717,407 | -553,434,814 |
Let's try dividing by 4:
553,434,814 ÷ 4 = 138,358,703.5
If the quotient is a whole number, then 4 and 138,358,703.5 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 | 2 | 276,717,407 | 553,434,814 | |
-1 | -2 | -276,717,407 | 553,434,814 |
If you did it right, you will end up with this table:
1 | 2 | 276,717,407 | 553,434,814 |
-1 | -2 | -276,717,407 | -553,434,814 |
Here are some more numbers to try:
Try the factor calculator