Helping a Saiyan Out: Fun Fact

Number Theory Level 2

Did you know that the number 4 has 3 positive factors: 1, 2, and 4?

Of course you did.

Then how many positive factors does 9009 have?

More than 30 24 4 16

Khalil Sarwari by khalil sarwari , 22, USA

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2 solutions

Arun Ar
Aug 11, 2014

9009 = 3^2 * 7^1 * 11^1 * 13^1

number of factors = (2 + 1) * ( 1+ 1) * ( 1+ 1) * ( 1+ 1) 

                               =  24
5 Helpful 0 Interesting 0 Brilliant 0 Confused
Jewel Mirana
Jan 2, 2015

Find the prime factorization of 9009. 9009=3^2 * 7^1 * 11^1 * 13^1 To find the number of factors add 1 to each of exponents and multiply it with each other: (2+1)(1+1)(1+1)(1+1)=24

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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