Factor 10k + 1 into a product of primes for k = 1, 2, 3, 4, 5.

Q: Use the method of mathematical induction to show that n³ +5n is divisible by 3 for all positive…

A: Induction is show below

Q: 1 x 15 = 5 by circling 1 row of 5 dots. This array with 3 rows of 5 dots each can be used to…

A: We have to find the number of circle

Q: Prove by the method of Mathematical Induction that, 3 divides n3 + 2n for any positive integer n.

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Q: Find the binomial that completes the factorization. 5s4+5000st3= 5s(       )(s2-10st+1002)

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Q: Compute the prime factorization of:                     gcd(75, 90)                     75 = 3 · 52…

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Q: Find the prime factorization of 147.

A: Factor of 147: 1, 3, 7, 21, 49, 147

Q: What is 12 less than 32 more of both answers sum using a base of 15?

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Q: Mr. Hansraj wants to find the least number of boxes to be added to get a perfect square. He already…

A: Given that Mr. Hansraj wants to find the least number of boxes to be added to get a perfect square.…

Q: power factorization

A: Introduction: A number is prime factorised or integer factorised when it is broken down into a set…

Q: Use mathematical induction to prove that 3n+ 7n−2 is divisible by 8 for every non-negative integer…

A: The given statement is, Pn=3n+7n-2 Let us assume that the statement is true for n=1 P1=31+71-2=8 As…

Q: Describe a general method for finding all the divisors of a positive integer once you know the prime…

A: Given  A positive Integer whose prime factorization is given . To find all the divisors with general…