The GCF of 144 and 300 is 12.
What factors make up 300?
Factors of 300
- Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300.
- Prime Factorization of 300: 300 = 22 × 3 × 52
What are the factors of and 144?
The factors of composite number 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. 144 is a square number.
How to find the factors of the number 300?
300 is a composite number. Prime factorization: 300 = 2 x 2 x 3 x 5 x 5, which can be written 300 = (2^2) x 3 x (5^2) The exponents in the prime factorization are 2, 1 and 2. Adding one to each and multiplying we get (2 + 1) (1 + 1) (2 + 1) = 3 x 2 x 3 = 18. Therefore 300 has exactly 18 factors.
How to calculate the factors of the number 144?
How to calculate the Factors of 144? 1 First, write the number 144 2 Find the two numbers, which gives the result as 144 under the multiplication, say 2 and 72, such as 2 × 72 = 144. 3 We know that 2 is a prime number which has only two factors, i.e., 1 and the number itself (1 and 2) which cannot be further factorized.
How many numbers from 1 to 100 have exactly 3 factors?
The factors must be prime, since any non-prime factor would itself have factors, meaning we’d exclude for example 2 x 3 x 4 = 24 since 4 is 2 x 2, so 24 really has 4 factors. Prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 – anything over this cannot result in a combined result of 100 or less (since 2 x 2 x n = 100 gives n = 25).
What are two numbers less than 50 that have exactly 3 factors?
You should have probably mentioned “2 digit numbers less than 50 that have exactly 3 factors”, because this is the property of a square number of a prime and there are 4 squares below 50 that are the squares of prime numbers. There are 4 numbers as shown below and two of them are 2 digit numbers and the remaining 2 numbers are single digit numbers.