Q: What are the factor combinations of the number 462,026,311?
A:
Positive:
1 x 462026311463 x 997897
Negative:
-1 x -462026311-463 x -997897
A:
Positive:
1 x 462026311463 x 997897
Negative:
-1 x -462026311-463 x -997897
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 462,026,311, 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 | 462,026,311 | |
-1 | -462,026,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 462,026,311.
Example:
1 x 462,026,311 = 462,026,311
and
-1 x -462,026,311 = 462,026,311
Notice both answers equal 462,026,311
With that explanation out of the way, let's continue. Next, we take the number 462,026,311 and divide it by 2:
462,026,311 ÷ 2 = 231,013,155.5
If the quotient is a whole number, then 2 and 231,013,155.5 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 | 462,026,311 | |
-1 | -462,026,311 |
Now, we try dividing 462,026,311 by 3:
462,026,311 ÷ 3 = 154,008,770.3333
If the quotient is a whole number, then 3 and 154,008,770.3333 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 | 462,026,311 | |
-1 | -462,026,311 |
Let's try dividing by 4:
462,026,311 ÷ 4 = 115,506,577.75
If the quotient is a whole number, then 4 and 115,506,577.75 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 | 462,026,311 | |
-1 | 462,026,311 |
If you did it right, you will end up with this table:
1 | 463 | 997,897 | 462,026,311 |
-1 | -463 | -997,897 | -462,026,311 |
Here are some more numbers to try:
Try the factor calculator