What are the Factors of 789?

Factors of 789 Methods What are the Factors of 789? The following are the different types of factors of 789: • Factors of 789: 1, 3, 263, 789 • Sum of Factors of 789: 1056 • Negative Factors of 789: -1, -3, -263, -789 • Prime Factors of 789: 3, 263 • Prime Factorization of 789: 3^1 × 263^1 There are two ways to find the factors of 789: using factor pairs, and using prime factorization. The Factor Pairs of 789 Factor pairs of 789 are any two numbers that, when multiplied together, equal 789. The question to ask is “what two numbers multiplied together equal 789?” Every factor can be paired with another factor, and multiplying the two will result in 789. To find the factor pairs of 789, follow these steps: Step 1: Find the smallest prime number that is larger than 1, and is a factor of 789. 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 3. Step 2: Divide 789 by the smallest prime factor, in this case, 3: 789 ÷ 3 = 263 3 and 263 will make a new factor pair. Step 3: Repeat Steps 1 and 2, using 263 as the new focus. Find the smallest prime factor that isn’t 1, and divide 263 by that number. In this case, 263 is the new smallest prime factor: 263 ÷ 263 = 1 Remember that this new factor pair is only for the factors of 263, not 789. So, to finish the factor pair for 789, you’d multiply 3 and 263 before pairing with 1: 3 x 263 = 789 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 789: (1, 789), (3, 263) So, to list all the factors of 789: 1, 3, 263, 789 The negative factors of 789 would be: -1, -3, -263, -789 Prime Factorization of 789 To find the Prime factorization of 789, we break down all the factors of 789 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 789 only has a few differences from the above method of finding the factors of 789. 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 789: Step 1: Find the smallest prime number that is larger than 1, and is a factor of 789. 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 3. Step 2: Divide 789 by the smallest prime factor, in this case, 3 789 ÷ 3 = 263 3 becomes the first number in our prime factorization. Step 3: Repeat Steps 1 and 2, using 263 as the new focus. Find the smallest prime factor that isn’t 1, and divide 263 by that number. The smallest prime factor you pick for 263 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 789 are: 3, 263 Find the Factors of Other Numbers Practice your factoring skills by exploring how to factor other numbers, like the ones below: Factors of 147 - The factors of 147 are 1, 3, 7, 21, 49, 147 Factors of 13 - The factors of 13 are 1, 13 Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70 Factors of 73 - The factors of 73 are 1, 73