What are the Factors of 1750?

Factors of 1750 Methods What are the Factors of 1750? The following are the different types of factors of 1750: • Factors of 1750: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750 • Sum of Factors of 1750: 3744 • Negative Factors of 1750: -1, -2, -5, -7, -10, -14, -25, -35, -50, -70, -125, -175, -250, -350, -875, -1750 • Prime Factors of 1750: 2, 5, 7 • Prime Factorization of 1750: 2^1 × 5^3 × 7^1 There are two ways to find the factors of 1750: using factor pairs, and using prime factorization. The Factor Pairs of 1750 Factor pairs of 1750 are any two numbers that, when multiplied together, equal 1750. The question to ask is “what two numbers multiplied together equal 1750?” Every factor can be paired with another factor, and multiplying the two will result in 1750. To find the factor pairs of 1750, follow these steps: Step 1: Find the smallest prime number that is larger than 1, and is a factor of 1750. 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 1750 by the smallest prime factor, in this case, 2: 1750 ÷ 2 = 875 2 and 875 will make a new factor pair. Step 3: Repeat Steps 1 and 2, using 875 as the new focus. Find the smallest prime factor that isn’t 1, and divide 875 by that number. In this case, 5 is the new smallest prime factor: 875 ÷ 5 = 175 Remember that this new factor pair is only for the factors of 875, not 1750. So, to finish the factor pair for 1750, you’d multiply 2 and 5 before pairing with 175: 2 x 5 = 10 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 1750: (1, 1750), (2, 875), (5, 350), (7, 250), (10, 175), (14, 125), (25, 70), (35, 50) So, to list all the factors of 1750: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750 The negative factors of 1750 would be: -1, -2, -5, -7, -10, -14, -25, -35, -50, -70, -125, -175, -250, -350, -875, -1750 Prime Factorization of 1750 To find the Prime factorization of 1750, we break down all the factors of 1750 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 1750 only has a few differences from the above method of finding the factors of 1750. 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 1750: Step 1: Find the smallest prime number that is larger than 1, and is a factor of 1750. 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 1750 by the smallest prime factor, in this case, 2 1750 ÷ 2 = 875 2 becomes the first number in our prime factorization. Step 3: Repeat Steps 1 and 2, using 875 as the new focus. Find the smallest prime factor that isn’t 1, and divide 875 by that number. The smallest prime factor you pick for 875 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 1750 are: 2, 5, 7 Find the Factors of Other Numbers Practice your factoring skills by exploring how to factor other numbers, like the ones below: Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 Factors of 68 - The factors of 68 are 1, 2, 4, 17, 34, 68 Factors of 35 - The factors of 35 are 1, 5, 7, 35 Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48