Write the prime factors of the following
(a) 400
(b) 196
c 324
d 441
(e) 1728
(f) 729
Answers
Answer:
a.2×2×2×2×5×5
b.2×2×7×7
c.2×2×3×3×3×3
d.3×3×7×7
e.2×2×2×2×2×2×3×3×3
f.3×3×3×3×3×3
Answer:
Step-by-step explanation:
a The prime factors are: 2 x 2 x 2 x 2 x 5 x 5. or also written as { 2, 2, 2, 2, 5, 5 }
Written in exponential form: 24 x 52
b 196/2 = 98 → prime factor 2.
98/2 = 49 → prime factor 2.
49 can be divided by 7 so we can write as 7 x 7 and we can't simplify further.
So the prime factors for 196 is 2 x 2 x 7 x 7.
c 324 is a composite number.
Prime factorization: 324 = 2 x 2 x 3 x 3 x 3 x 3, which can be written 324 = (2^2) x (3^4)
The exponents in the prime factorization are 2 and 4. ...
Factors of 324: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324.
d The prime factors are: 3 x 3 x 7 x 7. or also written as { 3, 3, 7, 7 }
Written in exponential form: 32 x 72
e The prime factors are: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3. or also written as { 2, 2, 2, 2, 2, 2, 3, 3, 3 }
Written in exponential form: 26 x 33
f find f in the attachment below = The prime factors are: 3 x 3 x 3 x 3 x 3 x 3
or also written as { 3, 3, 3, 3, 3, 3 }
Written in exponential form: 36
