As your math tutor, I’m here to guide you through the different types of factors of 163. So, what are the factors of 163?
• Factors of 163: 1, 163
• Sum of Factors of 163: 164
• Negative Factors of 163: -1, -163
• Prime Factors of 163: 1, 163
• Prime Factorization of 163: 163
There are two ways to find the factors of 163: using factor pairs and using prime factorization.
Factor pairs of 163 are any two numbers that, when multiplied together, equal 163. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 163?” Every factor can be paired with another factor and multiplying the two will result in 163.
In this case, we can see that 163 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, 163 only has one factor pair:
(1, 163)
If you also consider negative factors, there is also a second factor pair:
(-1, -163)
Prime factorization is when you break down the factors of 163 to just the prime factors and expressing 163 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 163 is a prime number, we can simply state the primary factorization as 163.
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 163.
163 ÷ 163 = 1
If we divide 163 by 163, we simply get 1, which can’t be broken down any further.
So, the prime factorization of 163 is just 163.
Practice your factoring skills by exploring how to factor other numbers, like the ones below:
Factors of 145 - The factors of 145 are 1, 5, 29, 145
Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
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 3 - The factors of 3 are 1, 3
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