(2)Find the HCF and LCM of 145,232
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Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
145 = 5 × 29;
145 is not a prime, is a composite number;
232 = 23 × 29;
232 is not a prime, is a composite number;
* Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself.
* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.
Calculate the least common multiple, lcm:
Multiply all the prime factors, by the largest exponents (if any).
lcm (145; 232) = 23 × 5 × 29;
lcm (145; 232) = 23 × 5 × 29 = 1,160
the numbers have common prime factors
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Answer:
HCFof 145,232 is 1
LCM of 145,232 is 35960
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