Q: What are the factor combinations of the number 465,229?
A:
Positive:
1 x 46522973 x 6373
Negative:
-1 x -465229-73 x -6373
A:
Positive:
1 x 46522973 x 6373
Negative:
-1 x -465229-73 x -6373
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 465,229, 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 | 465,229 | |
-1 | -465,229 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 465,229.
Example:
1 x 465,229 = 465,229
and
-1 x -465,229 = 465,229
Notice both answers equal 465,229
With that explanation out of the way, let's continue. Next, we take the number 465,229 and divide it by 2:
465,229 ÷ 2 = 232,614.5
If the quotient is a whole number, then 2 and 232,614.5 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 | 465,229 | |
-1 | -465,229 |
Now, we try dividing 465,229 by 3:
465,229 ÷ 3 = 155,076.3333
If the quotient is a whole number, then 3 and 155,076.3333 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 | 465,229 | |
-1 | -465,229 |
Let's try dividing by 4:
465,229 ÷ 4 = 116,307.25
If the quotient is a whole number, then 4 and 116,307.25 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 | 465,229 | |
-1 | 465,229 |
If you did it right, you will end up with this table:
1 | 73 | 6,373 | 465,229 |
-1 | -73 | -6,373 | -465,229 |
Here are some more numbers to try:
Try the factor calculator