Q: What are the factor combinations of the number 463,015,423?
A:
Positive:
1 x 46301542313 x 35616571
Negative:
-1 x -463015423-13 x -35616571
A:
Positive:
1 x 46301542313 x 35616571
Negative:
-1 x -463015423-13 x -35616571
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 463,015,423, 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 | 463,015,423 | |
-1 | -463,015,423 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 463,015,423.
Example:
1 x 463,015,423 = 463,015,423
and
-1 x -463,015,423 = 463,015,423
Notice both answers equal 463,015,423
With that explanation out of the way, let's continue. Next, we take the number 463,015,423 and divide it by 2:
463,015,423 ÷ 2 = 231,507,711.5
If the quotient is a whole number, then 2 and 231,507,711.5 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 | 463,015,423 | |
-1 | -463,015,423 |
Now, we try dividing 463,015,423 by 3:
463,015,423 ÷ 3 = 154,338,474.3333
If the quotient is a whole number, then 3 and 154,338,474.3333 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 | 463,015,423 | |
-1 | -463,015,423 |
Let's try dividing by 4:
463,015,423 ÷ 4 = 115,753,855.75
If the quotient is a whole number, then 4 and 115,753,855.75 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 | 463,015,423 | |
-1 | 463,015,423 |
If you did it right, you will end up with this table:
1 | 13 | 35,616,571 | 463,015,423 |
-1 | -13 | -35,616,571 | -463,015,423 |
Here are some more numbers to try:
Try the factor calculator