I have a question that I answered and I'm not sure that it is right. Here is my question: Use a calculator to help you write the prime factorization of 51,051. Here is my answer: If the sum of the digits of the number is divisible by 3, then 3 is a factor of the number. 3x17017 17 is the factor. 3x17x1001 11 is the factor. 3x17x11x91 91 us the product of 7 and 13. 3x17x11x7x13. Is this correct? If not could you explain what I am doing wrong? Thanks.
correct. I would have started with 51
1001 x 51
11 x 91
7x13
then break up 51 into 3,17
Your approach to finding the prime factorization of 51,051 seems to be correct. You started by checking if the sum of the digits is divisible by 3, which is a rule that can help identify if 3 is a factor. In this case, the sum of the digits (5 + 1 + 0 + 5 + 1) equals 12, which is divisible by 3.
Based on this information, you correctly determined that 3 is a factor of 51,051. You then divided 51,051 by 3 to get 17,017. The number 17 is a prime number, so it cannot be further divided.
Next, you divided 17,017 by 17, which yields 1,001. Again, 1,001 is not divisible by any prime number other than itself, which is 1,001 in this case.
For the next step, you correctly divided 1,001 by 11, giving a result of 91. Since 91 can be further divided by 7 and 13, you continued the process by dividing 91 by 7, which yields 13.
Finally, you arrived at the prime factorization of 51,051 as 3 × 17 × 11 × 7 × 13, which appears to be accurate.
Therefore, it seems like your answer is correct, and you successfully found the prime factorization of 51,051. Well done!