Question
Download Solution PDFFind the number of factors in 1680
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Number = 1680
Formula Used:
Number of factors = (e1 + 1) × (e2 + 1) × ... × (en + 1), where e1, e2, ..., en are the powers of prime factors of the number.
Calculation:
Step 1: Prime Factorization of 1680
1680 = 24 × 31 × 51 × 71
Step 2: Apply the formula for the number of factors:
Number of factors = (4 + 1) × (1 + 1) × (1 + 1) × (1 + 1)
⇒ Number of factors = 5 × 2 × 2 × 2
⇒ Number of factors = 40
The number of factors of 1680 is 40.
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