As your math tutor, I’m here to help you break down factor pairs of 340 step by step!
Factor pairs of 340 are any two numbers that, when multiplied together, equal 340. The question to ask is “what two numbers multiplied together equal 340?” Every factor can be paired with another factor, and multiplying the two will result in 340.
To find the factor pairs of 340, follow these steps:
Step 1:
Find the smallest prime number that is larger than 1, and is a factor of 340. 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 340 by the smallest prime factor, in this case, 2:
340 ÷ 2 = 170
2 and 170 will make a new factor pair.
Step 3:
Repeat Steps 1 and 2, using 170 as the new focus. Find the smallest prime factor that isn’t 1, and divide 170 by that number. In this case, 2 is the new smallest prime factor:
170 ÷ 2 = 85
Remember that this new factor pair is only for the factors of 170, not 340. So, to finish the factor pair for 340, you’d multiply 2 and 2 before pairing with 85:
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 340:
(1, 340), (2, 170), (4, 85), (5, 68), (10, 34), (17, 20)
So, to list all the factors of 340: 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
The negative factors of 340 would be: -1, -2, -4, -5, -10, -17, -20, -34, -68, -85, -170, -340
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!