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.
600/5=120, 120/5= 24, 24/3=8, 8/2=4, 4/2=2 2x2x2x3x5x5
2 x 2 x 5 x 5 = 100
2 x 2 x 2 x 3 x 5 x 5 = 600
2 x 2 x 5 x 5 = 100, the GCF
As a product of its prime factors: 2^3 times 3 times 5^2 = 600
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
The prime factors of 45 are 3 and 5.
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
Index form is where a number is expressed as the exponents of its prime factors. At the moment, you have it as its prime factors. We have two 3s, so that can be given as 32 and we have four 4s, so that can be given as 44. Thus 3x3x4x4x4x4 in index form is 32x44
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