Question
Download Solution PDFWhat is the number of factors of 720?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept Used:
If N = ap × bq × cr...
Then number of factors = (p + 1)(q + 1)(r + 1).....
Calculation:
According to the question,
First prime factorise number 720,
720 = 24 × 32 × 51
On comparing, with concept,
p = 4, q = 2 and r = 1
No. of factors = (4 + 1)(2 + 1)(1 + 1)
⇒ 5 × 3 × 2 = 30
∴ The number of factors of 720 is 30.
Last updated on Apr 30, 2025
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