Factor pairs of 182 are any two numbers that, when multiplied together, equal 182. The question to ask is “what two numbers multiplied together equal 182?” Every factor can be paired with another factor, and multiplying the two will result in 182.
To find the factor pairs of 182, follow these steps:
Step 1:
Find the smallest prime number that is larger than 1, and is a factor of 182. For reference, the first prime numbers to check are 2, 3, 5, 7, 11, and 13. In this case, the smallest factor that’s a prime number larger than 1 is 2.
Step 2:
Divide 182 by the smallest prime factor, in this case, 2:
182 ÷ 2 = 91
2 and 91 will make a new factor pair.
Step 3:
Repeat Steps 1 and 2, using 91 as the new focus. Find the smallest prime factor that isn’t 1, and divide 91 by that number. In this case, 7 is the new smallest prime factor:
91 ÷ 7 = 13
Remember that this new factor pair is only for the factors of 91, not 182. So, to finish the factor pair for 182, you’d multiply 2 and 7 before pairing with 13:
2 x 7 = 14
Step 4:
Repeat this process until there are no longer any prime factors larger than one to divide by. At the end, you should have the full list of factor pairs.
Here are all the factor pairs for 182:
(1, 182), (2, 91), (7, 26), (13, 14)
So, to list all the factors of 182: 1, 2, 7, 13, 14, 26, 91, 182
The negative factors of 182 would be: -1, -2, -7, -13, -14, -26, -91, -182