Question

360 is divisible by which of the following numbers 2,3,4,5,6,9, or 10

Answer 1

Answer:

360 is divisible by all numbers 2,3,4,5,6,9 or 10 .

Step-by-step explanation:

Given : 360

To find : 360 is divisible by which of the following numbers 2,3,4,5,6,9, or 10

Solution : We have given

Numbers 2,3,4,5,6,9, or 10.

For number = 2

$\frac{360}{2} = 180$.

For number = 3

$\frac{360}{3} = 120$.

For number = 4

$\frac{360}{4 } = 90$.

For number = 5

$\frac{360}{5 } = 72$.

For number = 6

$\frac{360}{6 } = 60$.

For number = 9

$\frac{360}{9 } = 40$.

For number = 10

$\frac{360}{10 } = 36$

Therefore, 360 is divisible by all numbers 2,3,4,5,6,9 or 10 .

Answer 2

360 is divisible by all the numbers; 2,3,4,5,6,9 and 10.

Further Explanation;

Greatest Common Divisor

• It is also known as the highest common factor (HCF).
• GCD is the largest positive integer that divides given numbers without remainder.
• Therefore the GCD or the HCF of two positive integer that divides the two numbers without any remainder.

Least common multiple

• L.C.M. refers to the smallest integer that is multiple of any given integers.
• For example the L.C.M. of two integers will be the smallest integer that is a multiple of the two integers.
• L.C.M. can be calculated using;

1. Prime factorization method
2. Division of primes
3. Formula method

In the question;

360 is divisible by all the numbers given without any remainders.

360 divided by 2 is 180

360 divided by 3 is 120

360 divided by 4 is 90

360 divided by 5 is 72

360 divided by 6 is 60

360 divided by 9 is 40

360 divided by 10 is 36

Therefore; 2, 3, 4, 5, 6, 9, and 10 are multiples of 360

Keywords: Greatest common divisor, least common multiple

Learn more about:

• Greatest common divisor; https://brainly.com/question/9337792
• Least common multiple: https://brainly.com/question/13226497

Level: middle school

Subject: Mathematics

Topic: G.C.D & L.C.M.