what is the prime factorization of 14,641 enter your as product of prime numbers , like 2×3 or a single prime number ,like 17
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Factors of 14641
Positive Integer factors of 14641 = 11, 121, 1331, 14641 divided by 11, 11, 11, 11, gives no remainder. They are integers and prime numbers of 14641, they are also called composite number.
Step-by-step explanation:
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The prime factorization of 14,641 is 11*11*11*11.
Step-by-step explanation:
- Prime factorization is the finding of the prime factors of a certain number by rigorous division that is the number is divided multiple times by prime factors to ultimately getting the quotient as 1, that is the number is completely factorized and the divisors for each step of the rigorous division is considered as the prime factors of the number to be factorized.
- 14641 when divided by 11, divides the number completely giving the remainder 0 and the quotient as 1331. Now, the next step is to divide the quotient again by 11. This gives 121. When 121 is divided by 11 again, the remainder found out is 0 and the quotient is 11. Finally, when 11 is divided by 11, we get 1 as the quotient and that gives us the final set of prime factors of the number 14641.
Hence, the prime factorization of 14,641 is 11*11*11*11.
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