To find whether the number is prime or composite. If the number is composite, write its prime factorization.
Answer to Problem 11C
The number is composite.
Explanation of Solution
Given Information: Number 180
Formula used: To check if the numbers is prime or composite by finding its factors. If its factors are more than 2(except 1 and the number itself), then the number is composite else prime.
Calculation:
To determine if 180 is a prime number or a composite number, simply look at the factors for 180.
If the factors of 180 are only 180 and 1, then 180 is a prime number. Otherwise, 180 is a composite number.
To explain better, if 180 is only divisible by 1 and 180, then it is a prime number, and if 180 is divisible by more than 180 and 1, then it is a composite number.
The factors of 180 are as follows:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Therefore, since 180 is divisible by more than one and itself, the number is composite.
Chapter 4 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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