describe how to decide if a number is divisible by a. 2, b. 3, c. 4., d. 5 e. 6
ID: 3092908 • Letter: D
Question
describe how to decide if a number is divisible by a. 2, b. 3, c. 4., d. 5 e. 6 The product of two numbers is 180. The LCM of the twonumbers is 60. What is the GFC of the numbers. Explainhow you know? Which of the following numbers are prime and how do youknow? a. 97 b. 51 c. 143 d. 223 How do the ideas of divisibility and multiples relate to thestudy of fractions? describe how to decide if a number is divisible by a. 2, b. 3, c. 4., d. 5 e. 6 The product of two numbers is 180. The LCM of the twonumbers is 60. What is the GFC of the numbers. Explainhow you know? Which of the following numbers are prime and how do youknow? a. 97 b. 51 c. 143 d. 223 How do the ideas of divisibility and multiples relate to thestudy of fractions?Explanation / Answer
a. A number is divisible by 2 if the number end with 0, 2, 4,6, or 8 b. A number is divisible by 3 if the sum of its digits isdivisible by 3. Ex. 123 is divisible by 3 since 1+2+3=6 isdivisible by 3 c. A number is divisible by 4 if the last two digits isdivisible by 4. Ex. 93440 is divisible by 4 since 40 is divisibleby 4. d. A number is divisible by 5 if the number ends with 0or 5. e. A number is divisible by 6 if it is divisible by 2 and3. --- Theorem: given two numbers a and b, then a*b=lcm(a,b) *gcf(a,b) So, gcf(a,b)=(a*b)/lcm(a,b)=180/60=3 --- b. 51 is not prime since 5+1=6 so it is divisible by 3 c. 143 is not prime since 143=11*13 d. 223 is not prime since 223=7*39 >>>a. 97 is prime since it is not divisible by primenumbers less than it.Related Questions
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