Factor pairs of 62 are any two numbers that, when multiplied together, equal 62. The question to ask is “what two numbers multiplied together equal 62?” Every factor can be paired with another factor, and multiplying the two will result in 62.
To find the factor pairs of 62, follow these steps:
Step 1:
Find the smallest prime number that is larger than 1, and is a factor of 62. 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 62 by the smallest prime factor, in this case, 2:
62 ÷ 2 = 31
2 and 31 will make a new factor pair.
Step 3:
Repeat Steps 1 and 2, using 31 as the new focus. Find the smallest prime factor that isn’t 1, and divide 31 by that number. In this case, 31 is the new smallest prime factor:
31 ÷ 31 = 1
Remember that this new factor pair is only for the factors of 31, not 62. So, to finish the factor pair for 62, you’d multiply 2 and 31 before pairing with 1:
2 x 31 = 62
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 62:
(1, 62), (2, 31)
So, to list all the factors of 62: 1, 2, 31, 62
The negative factors of 62 would be: -1, -2, -31, -62