Use the division method to find the prime factors at these number hands use rules for divisibility 1) 30
Mathematics
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Step-by-step solution
3 stepsTo find the prime factors of 30 using the division method and divisibility rules:
Start with the smallest prime number, 2.
- Is 30 divisible by 2? Yes, because 30 is an even number (ends in 0).
- 30 ÷ 2 = 15
Now consider the result, 15.
- Is 15 divisible by 2? No, because 15 is an odd number.
- Move to the next prime number, 3.
- Is 15 divisible by 3? Yes, because the sum of its digits (1 + 5 = 6) is divisible by 3.
- 15 ÷ 3 = 5
Now consider the result, 5.
- Is 5 divisible by 3? No.
- Move to the next prime number, 5.
- Is 5 divisible by 5? Yes.
- 5 ÷ 5 = 1
You stop when the result is 1.
The prime factors of 30 are the divisors you used: 2, 3, and 5.
Prime factorization of 30 = 2 × 3 × 5
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