whats the prime factorization of 62
2 and 31
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What is the prime factorization of 62
To find the prime factorization of a number, you need to determine the prime numbers that divide it evenly.
To find the prime factorization of 62, you can follow these steps:
1. Start by dividing the number by the smallest prime number, which is 2. Since 62 is an even number, it can be divided by this prime number.
62 ÷ 2 = 31
The quotient is 31. Repeat the process with the new quotient.
2. Check if the new quotient (31) is divisible by the same prime number (2). As 31 is an odd number, it cannot be divided by 2.
3. Move on to the next prime number, which is 3. Check if 31 is divisible by 3:
31 ÷ 3 = 10 with a remainder of 1
Since it leaves a remainder of 1, we can conclude that 31 is not divisible by 3.
4. Continue to the next prime number, which is 5. Check if 31 is divisible by 5:
31 ÷ 5 = 6 with a remainder of 1
Again, it leaves a remainder of 1, meaning 31 is not divisible by 5.
5. Move on to the next prime number, which is 7. Check if 31 is divisible by 7:
31 ÷ 7 = 4 with a remainder of 3
Like before, it leaves a remainder, showing that 31 is not divisible by 7.
6. Lastly, try dividing 31 by 11, which is the next prime number:
31 ÷ 11 = 2 with a remainder of 9
It still leaves a remainder, indicating that 31 is not divisible by 11 either.
Since we have exhausted all prime numbers up to the square root of 62 (which is 7), and no other prime numbers divide 62 evenly, we have determined the prime factorization:
62 = 2 × 31
Therefore, the prime factorization of 62 is 2 x 31.