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How many factors of 360 are Coprime to each other?

How many factors of 360 are Coprime to each other?

So any factor of 360 has 3 twos , 2 threes and one fives to be formed of. Two factors can be coprime if and only if their greatest common divisor is 1 so which means they would not include a single prime factor in common.

What are the factors of 360?

The divisors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 and 360, making a total of 24 divisors.

How many factors are in Coprime?

1 is co-prime with every number. Any two prime numbers are co-prime to each other: As every prime number has only two factors 1 and the number itself, the only common factor of two prime numbers will be 1. For example, 2 and 3 are two prime numbers. Factors of 2 are 1, 2, and factors of 3 are 1, 3.

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What are multiples of 360?

Multiples of 360: 360, 720, 1080, 1440, 1800, 2160, 2520, 2880, 3240, 3600 and so on.

What 2 Numbers add up to 360?

Factor Pairs of 360

  • x 360 = 360.
  • x 180 = 360.
  • x 120 = 360.
  • x 90 = 360.
  • x 72 = 360.
  • x 60 = 360.

What two numbers make 360?

Factor Pairs of 360

  • 1 x 360 = 360.
  • 2 x 180 = 360.
  • 3 x 120 = 360.
  • 4 x 90 = 360.
  • 5 x 72 = 360.
  • 6 x 60 = 360.
  • 8 x 45 = 360.
  • 9 x 40 = 360.

Which of the following are pairs of Coprime?

Coprime numbers are numbers that have only 1 as their HCF. 18 and 35 have no common factors, Therefore, 18 and 35 are coprime numbers. As they have no common factors, 15 and 37 are co-prime numbers. As they have a common factor 5, hence, 30 and 415 are not co-prime.

What is the GCF of 360?

Factors for 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360. Factors for 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.

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How do you find the LCM of 360?

Steps to find LCM

  1. Find the prime factorization of 360. 360 = 2 × 2 × 2 × 3 × 3 × 5.
  2. Find the prime factorization of 480. 480 = 2 × 2 × 2 × 2 × 2 × 3 × 5.
  3. LCM = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5.
  4. LCM = 1440.