As your math tutor, I’m here to help you break down factor pairs of 484 step by step!
Factor pairs of 484 are any two numbers that, when multiplied together, equal 484. The question to ask is “what two numbers multiplied together equal 484?” Every factor can be paired with another factor, and multiplying the two will result in 484.
To find the factor pairs of 484, follow these steps:
Step 1:
Find the smallest prime number that is larger than 1, and is a factor of 484. 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 484 by the smallest prime factor, in this case, 2:
484 ÷ 2 = 242
2 and 242 will make a new factor pair.
Step 3:
Repeat Steps 1 and 2, using 242 as the new focus. Find the smallest prime factor that isn’t 1, and divide 242 by that number. In this case, 2 is the new smallest prime factor:
242 ÷ 2 = 121
Remember that this new factor pair is only for the factors of 242, not 484. So, to finish the factor pair for 484, you’d multiply 2 and 2 before pairing with 121:
2 x 2 = 4
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 484:
(1, 484), (2, 242), (4, 121), (11, 44), (22, 22)
So, to list all the factors of 484: 1, 2, 4, 11, 22, 44, 121, 242, 484
The negative factors of 484 would be: -1, -2, -4, -11, -22, -44, -121, -242, -484
Now you’ve got it! A math tutor would always encourage you to practice with different numbers to reinforce your understanding of factor pairs. Try another one!