Question
Download Solution PDFFind the total number of factors of the number 480.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The number is 480.
Formula Used:
If Prime Factorisation of a number N = ap × bq × cr × ......
Then, Total number of factors of N = (p + 1) × (q + 1) × (r + 1) × ......
Calculation:
Here,
Prime Factorisation of 480 = 25 × 31 × 51
So, Total number of factors = (5 + 1) × (1 + 1) × (1 + 1)
⇒ 6 × 2 × 2
⇒ 24
∴ The total number of factors of 480 is 24.
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