What are the Factors of 55?

Factors of 55 Methods What are the Factors of 55? The following are the different types of factors of 55: • Factors of 55: 1, 5, 11, 55 • Sum of Factors of 55: 72 • Negative Factors of 55: -1, -5, -11, -55 • Prime Factors of 55: 5, 11 • Prime Factorization of 55: 5^1 × 11^1 There are two ways to find the factors of 55: using factor pairs, and using prime factorization. The Factor Pairs of 55 Factor pairs of 55 are any two numbers that, when multiplied together, equal 55. The question to ask is “what two numbers multiplied together equal 55?” Every factor can be paired with another factor, and multiplying the two will result in 55. To find the factor pairs of 55, follow these steps: Step 1: Find the smallest prime number that is larger than 1, and is a factor of 55. 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 5. Step 2: Divide 55 by the smallest prime factor, in this case, 5: 55 ÷ 5 = 11 5 and 11 will make a new factor pair. Step 3: Repeat Steps 1 and 2, using 11 as the new focus. Find the smallest prime factor that isn’t 1, and divide 11 by that number. In this case, 11 is the new smallest prime factor: 11 ÷ 11 = 1 Remember that this new factor pair is only for the factors of 11, not 55. So, to finish the factor pair for 55, you’d multiply 5 and 11 before pairing with 1: 5 x 11 = 55 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 55: (1, 55), (5, 11) So, to list all the factors of 55: 1, 5, 11, 55 The negative factors of 55 would be: -1, -5, -11, -55 Prime Factorization of 55 To find the Prime factorization of 55, we break down all the factors of 55 until we are left with only prime factors. We then express n as a product of multiplying the prime factors together. The process of finding the prime factorization of 55 only has a few differences from the above method of finding the factors of 55. Instead of ensuring we find the right factor pairs, we continue to factor each step until we are left with only the list of smallest prime factors greater than 1. Here are the steps for finding the prime factorization of 55: Step 1: Find the smallest prime number that is larger than 1, and is a factor of 55. 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 5. Step 2: Divide 55 by the smallest prime factor, in this case, 5 55 ÷ 5 = 11 5 becomes the first number in our prime factorization. Step 3: Repeat Steps 1 and 2, using 11 as the new focus. Find the smallest prime factor that isn’t 1, and divide 11 by that number. The smallest prime factor you pick for 11 will then be the next prime factor. If you keep repeating this process, there will be a point where there will be no more prime factors left, which leaves you with the prime factors for prime factorization. So, the unique prime factors of 55 are: 5, 11 Find the Factors of Other Numbers Practice your factoring skills by exploring how to factor other numbers, like the ones below: Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100 Factors of 14 - The factors of 14 are 1, 2, 7, 14 Factors of 35 - The factors of 35 are 1, 5, 7, 35 Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16