As your math tutor, I’m here to guide you through the different types of factors of 7. So, what are the factors of 7?
• Factors of 7: 1, 7
• Sum of Factors of 7: 8
• Negative Factors of 7: -1, -7
• Prime Factors of 7: 1, 7
• Prime Factorization of 7: 7
There are two ways to find the factors of 7: using factor pairs and using prime factorization.
Factor pairs of 7 are any two numbers that, when multiplied together, equal 7. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 7?” Every factor can be paired with another factor and multiplying the two will result in 7.
In this case, we can see that 7 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, 7 only has one factor pair:
(1, 7)
If you also consider negative factors, there is also a second factor pair:
(-1, -7)
Prime factorization is when you break down the factors of 7 to just the prime factors and expressing 7 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 7 is a prime number, we can simply state the primary factorization as 7.
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 7.
7 ÷ 7 = 1
If we divide 7 by 7, we simply get 1, which can’t be broken down any further.
So, the prime factorization of 7 is just 7.
Practice your factoring skills by exploring how to factor other numbers, like the ones below:
Factors of 83 - The factors of 83 are 1, 83
Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Factors of 3 - The factors of 3 are 1, 3
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