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Express each number as the product of its prime factor: 1176,8232,32760?
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Express each number as the product of its prime factor: 1176,8232,3276...
Prime Factorization of Numbers


1176


  • First, we divide the number by the smallest prime number, which is 2. We get 588 as the quotient and 2 as the factor.

  • Next, we divide the quotient (588) by 2 again. We get 294 as the quotient and 2 as the factor.

  • Dividing 294 by 2, we get 147 as the quotient and 2 as the factor.

  • 147 is not divisible by 2. So we try the next prime number, which is 3. Dividing 147 by 3, we get 49 as the quotient and 3 as the factor.

  • 49 is a perfect square and is divisible by 7. Dividing 49 by 7, we get 7 as the quotient and 7 as the factor.



Therefore, the prime factorization of 1176 is 2 x 2 x 2 x 3 x 7 x 7.

8232


  • First, we divide the number by the smallest prime number, which is 2. We get 4116 as the quotient and 2 as the factor.

  • Next, we divide the quotient (4116) by 2 again. We get 2058 as the quotient and 2 as the factor.

  • Dividing 2058 by 2, we get 1029 as the quotient and 2 as the factor.

  • 1029 is not divisible by 2. So we try the next prime number, which is 3. Dividing 1029 by 3, we get 343 as the quotient and 3 as the factor.

  • 343 is a perfect square and is divisible by 7. Dividing 343 by 7, we get 49 as the quotient and 7 as the factor.

  • Dividing 49 by 7, we get 7 as the quotient and 7 as the factor.



Therefore, the prime factorization of 8232 is 2 x 2 x 2 x 3 x 7 x 7 x 7.

32760


  • First, we divide the number by the smallest prime number, which is 2. We get 16380 as the quotient and 2 as the factor.

  • Next, we divide the quotient (16380) by 2 again. We get 8190 as the quotient and 2 as the factor.

  • Dividing 8190 by 2, we get 4095 as the quotient and 2 as the factor.

  • Dividing 4095 by 3, we get 1365 as the quotient and 3 as the factor.

  • Dividing 1365 by 3, we get 455 as the quotient and 3 as the factor.

  • Dividing 455 by 5, we get
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Express each number as the product of its prime factor: 1176,8232,32760?
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