Find the prime factorization of the number 75
answer 5x5x5
5^2x3
Since x is often used to indicate an unknown, "*" is used to indicate multiplication online.
Right!
5^2 * 3 = 5 * 5 * 3 = 75
The prime factorization of a number involves finding the prime numbers that, when multiplied together, equal the original number. To find the prime factorization of 75, you can follow these steps:
Step 1: Divide the number by the smallest prime number, which is 2. If the number is divisible by 2, divide it repeatedly until it is no longer divisible by 2. In this case, 75 is not divisible by 2.
Step 2: Move on to the next prime number, which is 3. Divide the number by 3. 75 ÷ 3 = 25. Since 25 is still divisible by 3, divide it again. 25 ÷ 3 = 8.33 (approximately). Continue dividing by 3 until the result is no longer divisible evenly. In this case, 8.33 is not divisible by 3.
Step 3: Move on to the next prime number, which is 5. Divide the number by 5. 8.33 ÷ 5 = 1.67 (approximately). Since 1.67 is not divisible by 5, we stop here.
Step 4: Write down all the prime numbers that you used as divisors: 3 and 5. These are the prime factors of 75.
Therefore, the prime factorization of 75 is 3 × 5 × 5, which can be simplified as 3 × 5² or 5³.
5 * 5 * 5 = 125
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