As your math tutor, I’m here to guide you through the different types of factors of 313. So, what are the factors of 313?
• Factors of 313: 1, 313
• Sum of Factors of 313: 314
• Negative Factors of 313: -1, -313
• Prime Factors of 313: 1, 313
• Prime Factorization of 313: 313
There are two ways to find the factors of 313: using factor pairs and using prime factorization.
Factor pairs of 313 are any two numbers that, when multiplied together, equal 313. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 313?” Every factor can be paired with another factor and multiplying the two will result in 313.
In this case, we can see that 313 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, 313 only has one factor pair:
(1, 313)
If you also consider negative factors, there is also a second factor pair:
(-1, -313)
Prime factorization is when you break down the factors of 313 to just the prime factors and expressing 313 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 313 is a prime number, we can simply state the primary factorization as 313.
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 313.
313 ÷ 313 = 1
If we divide 313 by 313, we simply get 1, which can’t be broken down any further.
So, the prime factorization of 313 is just 313.
Practice your factoring skills by exploring how to factor other numbers, like the ones below:
Factors of 35 - The factors of 35 are 1, 5, 7, 35
Factors of 9 - The factors of 9 are 1, 3, 9
Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
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