Write all the factors of the following number:
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Write all the factors of the following number:
To determine the factors of the number , we will follow these steps:
Step 1: Begin by checking each number starting from up to to see if it divides evenly.
Step 2: Check . Since , is a factor.
Step 3: Check . Since , is a factor.
Step 4: Check . Since , is a factor.
Step 5: Check . Since is not evenly divisible by , is not a factor.
Step 6: Check . Since is not evenly divisible by , is not a factor.
Step 7: Finally, check . Since , is a factor.
All possible whole number products (pairs) that result in are , , , and .
However, when checking for unique prime factors as a particular approach in factors identification, breaks down into prime factors of and .
Therefore, the primary distinct prime factors of are and .
This correlates with choice 3:
Choice : , which matches our factors.
Thus, the answer is correctly represented as the distinct prime factors in the context of the problem requirements.
Write all the factors of the following number: \( 9 \)
Factors are all numbers that divide evenly into 6: {1, 2, 3, 6}. Prime factors are only the prime numbers that multiply to make 6: {2, 3}. Prime factors are the building blocks!
The number 1 is not prime because prime numbers must have exactly two factors: 1 and themselves. Since 1 only has one factor (itself), it's neither prime nor composite.
Start with the smallest prime number (2) and divide repeatedly. Then try 3, 5, 7, etc. For example: , so prime factors are 2 and 3.
When finding distinct prime factors, list each prime only once. For 6, write {2, 3}, not {2, 3, 2}. If the question asks for prime factorization, then you'd write .
If the number itself is prime (like 7 or 11), then it only has one prime factor: itself. For example, the only prime factor of 7 is 7.
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