Q. Write 2730 as a product of prime factors.Enter your answer as a product of prime numbers, like 2×3, or as a single prime number, like 17.
Find Smallest Prime Number: Begin by finding the smallest prime number that divides 2730. The smallest prime number is 2. Check if 2730 is divisible by 2. 2730÷2=1365 Since 1365 is a whole number, 2 is a prime factor of 2730.
Continue Factoring Quotient: Continue factoring the quotient 1365 by the smallest prime numbers.The next smallest prime number after 2 is 3. Check if 1365 is divisible by 3.1365÷3=455Since 455 is a whole number, 3 is a prime factor of 1365.
Factor Quotient by Prime Numbers: Factor the quotient 455 by the smallest prime numbers.455 is not even, so we test if it's divisible by 3.455÷3 is not a whole number, so we try the next prime number, which is 5.455÷5=91Since 91 is a whole number, 5 is a prime factor of 455.
Factor Quotient by Prime Numbers: Factor the quotient 91 by the smallest prime numbers.91 is not even, and it is not divisible by 3 or 5. The next prime number is 7.91÷7=13Since 13 is a whole number and also a prime number, 7 and 13 are prime factors of 91.
Write as Product of Prime Factors: Write 2730 as a product of the prime factors we have found.2730=2×3×5×7×13
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