Number N = 2⁶ × 5⁵ × 7⁶ × 10⁷; how many factors of N are even numbers? | StudyFlash MCQ

Maths Number System

Number N = 2⁶ × 5⁵ × 7⁶ × 10⁷; how many factors of N are even numbers?

संख्या N = 2⁶ × 5⁵ × 7⁶ × 10⁷; N के कितने गुणनखंड सम संख्याएँ हैं?

A

(a) 1183

B

(b) 1200

C

(c) 1050

D

(d) 540

Correct Answer: Option A

Explanation / व्याख्या:

N=2¹³×5¹²×7⁶. Total factors=14×13×7=1274. Odd factors=13×7=91. Even=1274-91=1183.

N=2¹³×5¹²×7⁶। कुल गुणनखंड=1274। विषम=91। सम=1183।

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