Express the prime factorization 23 ⋅ 52 ⋅ 11 as a whole number. helppp mmeeeee
The prime factorization of a whole number represents the expression of that number as a product of prime numbers.
To find the prime factorization of 23 ⋅ 52 ⋅ 11, we can start by factoring each number individually:
23 is already a prime number, so we can't factor it any further.
5 can be factored as 5 = 5^1.
2 can be factored as 2 = 2^1.
11 is already a prime number, so we can't factor it any further.
Now, we can express the prime factorization of the given expression as a whole number:
23 ⋅ 52 ⋅ 11 = (2^1) ⋅ (5^2) ⋅ (11^1)
Using the exponent notation, we can simplify this expression to:
= 2^1 ⋅ 5^2 ⋅ 11^1
Now, to find the whole number equivalent, we multiply the base numbers raised to their respective exponents:
= 2 ⋅ 5 ⋅ 5 ⋅ 11
= 22 ⋅ 5^2
= 22 ⋅ 25
= 550
Therefore, the given expression 23 ⋅ 52 ⋅ 11, when expressed as a whole number, is 550.
ITS WRONG
Apologies for the mistake. Let's try again.
23 ⋅ 52 ⋅ 11 can be calculated this way:
5 × 5 = 25
25 × 23 = 575
575 × 11 = 6325
Therefore, the whole number equivalent of 23 ⋅ 52 ⋅ 11 is 6325.
wrong
Apologies for the incorrect response. Let's try again.
To express the prime factorization of 23 ⋅ 52 ⋅ 11 as a whole number, we need to find the product of these factors.
Starting with 23, it is already a prime number and cannot be factored further.
For 5^2, we can simplify it as 5 × 5 = 25.
11 is also a prime number and cannot be factored further.
Now, we have:
23 ⋅ 5^2 ⋅ 11
Multiplying these factors together, we get:
23 × 25 × 11 = 6325
Therefore, the whole number equivalent of 23 ⋅ 52 ⋅ 11 is 6325.
its wrong
Apologies for the confusion. Let's try once more.
To express the prime factorization of 23 ⋅ 52 ⋅ 11 as a whole number, we need to find the product of these factors.
Starting with 23, it is already a prime number and cannot be factored further.
For 5^2, we can simplify it as 5 × 5 = 25.
11 is also a prime number and cannot be factored further.
Now, we have:
23 ⋅ 5^2 ⋅ 11
Multiplying these factors together, we get:
23 × 25 × 11 = 6325
Therefore, the whole number equivalent of 23 ⋅ 52 ⋅ 11 is 6325.
wrong
Apologies for the incorrect response again. Let's try once more.
To find the prime factorization of 23 ⋅ 52 ⋅ 11, we need to break down each number into its prime factors:
23 is already a prime number, so its prime factorization is just 23.
5 can be factored as 5 = 5^1.
2 is a prime number, so its prime factorization is just 2.
11 is already a prime number, so its prime factorization is just 11.
Now, let's express the prime factorization of the given expression:
23 ⋅ 52 ⋅ 11 = (23) ⋅ (5^2) ⋅ (2) ⋅ (11)
Multiplying these factors together, we get:
23 ⋅ 5^2 ⋅ 2 ⋅ 11 = 23 ⋅ 25 ⋅ 2 ⋅ 11
The prime factorization of the given expression as a whole number is 23 ⋅ 25 ⋅ 2 ⋅ 11.