As your math tutor, I’m here to guide you through the different types of factors of 239. So, what are the factors of 239?
• Factors of 239: 1, 239
• Sum of Factors of 239: 240
• Negative Factors of 239: -1, -239
• Prime Factors of 239: 1, 239
• Prime Factorization of 239: 239
There are two ways to find the factors of 239: using factor pairs and using prime factorization.
Factor pairs of 239 are any two numbers that, when multiplied together, equal 239. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 239?” Every factor can be paired with another factor and multiplying the two will result in 239.
In this case, we can see that 239 is a prime number. By definition, a prime number is a number that doesn’t have any other factors other than itself and 1.
So, 239 only has one factor pair:
(1, 239)
If you also consider negative factors, there is also a second factor pair:
(-1, -239)
Prime factorization is when you break down the factors of 239 to just the prime factors and expressing 239 as a product of those prime factors. Let’s go through the process and simplify it like a math tutor would!
In this case, because 239 is a prime number, we can simply state the primary factorization as 239.
For most numbers, we would take the smallest prime factor that is larger than 1 to start to break down the focus number. In this case, the smallest prime factor larger than 1 is 239.
239 ÷ 239 = 1
If we divide 239 by 239, we simply get 1, which can’t be broken down any further.
So, the prime factorization of 239 is just 239.
Practice your factoring skills by exploring how to factor other numbers, like the ones below:
Factors of 22 - The factors of 22 are 1, 2, 11, 22
Factors of 142 - The factors of 142 are 1, 2, 71, 142
Factors of 120 - The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Factors of 91 - The factors of 91 are 1, 7, 13, 91
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