MATH SOLVE

3 months ago

Q:
# What are the Factors of 401?

Accepted Solution

A:

Factors of 401
Methods
What are the Factors of 401?
So, what are the factors of 401?
• Factors of 401: 1, 401
• Sum of Factors of 401: 402
• Negative Factors of 401: -1, -401
• Prime Factors of 401: 1, 401
• Prime Factorization of 401: 401
There are two ways to find the factors of 401: using factor pairs and using prime factorization.
The Factor Pairs of 401
Factor pairs of 401 are any two numbers that, when multiplied together, equal 401. The question to ask is “what two numbers multiplied together equal 401?” Every factor can be paired with another factor and multiplying the two will result in 401.
In this case, we can see that 401 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, 401 only has one factor pair:
(1, 401)
If you also consider negative factors, there is also a second factor pair:
(-1, -401)
Prime Factorization of 401
Prime factorization is when you break down the factors of 401 to just the prime factors and expressing 401 as a product of those prime factors.
In this case, because 401 is a prime number, we can simply state the primary factorization as 401.
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 401.
401 ÷ 401 = 1
If we divide 401 by 401, we simply get 1, which can’t be broken down any further.
So, the prime factorization of 401 is just 401.
Find the Factors of Other Numbers
Practice your factoring skills by exploring how to factor other numbers, like the ones below:
Factors of 85 - The factors of 85 are 1, 5, 17, 85
Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
Factors of 8 - The factors of 8 are 1, 2, 4, 8
Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42