Give the prime factorization of the following number: 945
Give the prime factorization of the following number: 945
Aniket Singh , 9 Months ago
Grade
8 grade maths> Give the prime factorization of the follo...
1 AnswersAskiitians Tutor Team
Last Activity: 9 Months ago
To find the prime factorization of 945, follow these steps:
Start by dividing 945 by the smallest prime number, which is 3: 945 ÷ 3 = 315
Now, divide 315 by 3 again: 315 ÷ 3 = 105
Divide 105 by 3: 105 ÷ 3 = 35
Now, divide 35 by 5 (since 35 is divisible by 5, the next smallest prime number): 35 ÷ 5 = 7
Finally, 7 is a prime number, so we stop here.
Thus, the prime factorization of 945 is: 945 = 3 × 3 × 3 × 5 × 7
This can also be written as: 945 = 3³ × 5 × 7
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