Q: What are the factor combinations of the number 429,289?
A:
Positive:
1 x 4292897 x 6132749 x 8761
Negative:
-1 x -429289-7 x -61327-49 x -8761
A:
Positive:
1 x 4292897 x 6132749 x 8761
Negative:
-1 x -429289-7 x -61327-49 x -8761
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 429,289, 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 | 429,289 | |
-1 | -429,289 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 429,289.
Example:
1 x 429,289 = 429,289
and
-1 x -429,289 = 429,289
Notice both answers equal 429,289
With that explanation out of the way, let's continue. Next, we take the number 429,289 and divide it by 2:
429,289 ÷ 2 = 214,644.5
If the quotient is a whole number, then 2 and 214,644.5 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 | 429,289 | |
-1 | -429,289 |
Now, we try dividing 429,289 by 3:
429,289 ÷ 3 = 143,096.3333
If the quotient is a whole number, then 3 and 143,096.3333 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 | 429,289 | |
-1 | -429,289 |
Let's try dividing by 4:
429,289 ÷ 4 = 107,322.25
If the quotient is a whole number, then 4 and 107,322.25 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 | 429,289 | |
-1 | 429,289 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 8,761 | 61,327 | 429,289 |
-1 | -7 | -49 | -8,761 | -61,327 | -429,289 |
Here are some more numbers to try:
Try the factor calculator