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inna [77]
3 years ago
7

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

Mathematics
2 answers:
alukav5142 [94]3 years ago
8 0

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 .

andriy [413]3 years ago
8 0

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

<h2>Further Explanation;</h2><h3>Greatest Common Divisor </h3>
  • 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.
<h3>Least common multiple</h3>
  • 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
<h3>In the question;</h3>

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

<h3>Learn more about: </h3>
  • Greatest common divisor; brainly.com/question/9337792
  • Least common multiple: brainly.com/question/13226497

Level: middle school

Subject: Mathematics

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

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