Prime factorization of 100 = 2x2x5x5
Prime factorization of 600 = 2x2x2x3x5x5
What is common in the prime factorization of 100 and 600?
2, 2x2, 2x5 etc. are common, but which is the greatest among all these?
The answer is 2x2x5x5.
So, GCF(100,600) = 2x2x5x5 = 100.
52 = 25
Index form means using exponents, which are a way of notating repeated factors. The prime factorization of 72 is 2 x 2 x 2 x 3 x 3 The prime factorization of 72 is 2^3 x 3^2
It is: 3*5*7^2 = 735
24 x 5 x 72 = 3920
Index form means using exponents. Exponents are just a way of notating repeated factors. The prime factorization of 72 is 2 x 2 x 2 x 3 x 3 The prime factorization of 72 is 2^3 x 3^2
648 expressed as a product of its prime factors in index form is 2^3 times 3^4
Prime factors of 1080 are 23 33 5.
52 = 25
300
To express 63 as a product of prime factors in index form, we first need to find the prime factors of 63. 63 can be factored as 3 x 3 x 7. This can be written in index form as 3^2 x 7. Therefore, 63 as a product of prime factors in index form is 3^2 x 7.
72 *23
No indices are needed because as a product of its prime factors: 3*5*7 = 105
2*7*11
23 x 53 = 1000
2 x 52 = 50
It is: 22*52 = 100
To work out the prime factors of 180 in index form, you first need to find the prime factors of 180. Start by dividing 180 by the smallest prime number, which is 2. Continue dividing by prime numbers until you cannot divide any further. The prime factors of 180 are 2, 2, 3, 3, and 5. In index form, this would be written as 2^2 * 3^2 * 5.