. Express each of the following numbers as a product of its prime factors.
(i) 140
(ii) 156
(iii) 3825
(iv) 5005
(v) 7429
Answers
Answered by
1
Answer:
prime factorization of
140 = 2*2*7*5
156=2*3*13
3825=3*3*5*5*17
5005=5*7*11*13
7429=17*19*23
Step-by-step explanation:
For calculating prime factors
Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers.
Step 2: Write the number as a product of prime numbers.
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Answer:
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Step-by-step explanation:
(i) 140
140=2×70
=2×2×35
=2×2×5×7
=2×2×5×7×1
(ii) 156
156=2×78
=2×2×39
=2×2×3×13
=2×2×3×13×1
(iii) 3825
3825=3×1275
=3×3×425
=3×3×5×85
=3×3×5×5×17
=3×3×5×5×17×1
(iv) 5005
5005=5×1001
=5×7×143
=5×7×11×13
=5×7×11×13×1
(v) 7429
7429=17×437
=17×19×23
=17×19×23×1
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