Q: What are the factor combinations of the number 151,271?
A:
Positive:
1 x 15127123 x 6577
Negative:
-1 x -151271-23 x -6577
A:
Positive:
1 x 15127123 x 6577
Negative:
-1 x -151271-23 x -6577
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 151,271, 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 | 151,271 | |
-1 | -151,271 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 151,271.
Example:
1 x 151,271 = 151,271
and
-1 x -151,271 = 151,271
Notice both answers equal 151,271
With that explanation out of the way, let's continue. Next, we take the number 151,271 and divide it by 2:
151,271 ÷ 2 = 75,635.5
If the quotient is a whole number, then 2 and 75,635.5 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 | 151,271 | |
-1 | -151,271 |
Now, we try dividing 151,271 by 3:
151,271 ÷ 3 = 50,423.6667
If the quotient is a whole number, then 3 and 50,423.6667 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 | 151,271 | |
-1 | -151,271 |
Let's try dividing by 4:
151,271 ÷ 4 = 37,817.75
If the quotient is a whole number, then 4 and 37,817.75 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 | 151,271 | |
-1 | 151,271 |
If you did it right, you will end up with this table:
1 | 23 | 6,577 | 151,271 |
-1 | -23 | -6,577 | -151,271 |
Here are some more numbers to try:
Try the factor calculator