You don't find the prime factorization by using exponents, they're just a shorthand for notation once you find it. The prime factorization of 900 is 22 x 32 x 52
To find the prime factorization of a number, it helps to divide it by any obvious factors. In this case, 156 is even so we can divide by 2. Do this and we get 78, which is also even. Divide by 2 again and we get 39, which is divisible by 3. Do that and we get 13 which is prime. Thus the prime factorization of 156 is 2x2x3x13. If we want to use exponents this can be written as 22x3x13
Sure thing, darling. The prime factorization of 55 is 5 x 11. If we want to use exponents, we can write it as 5^1 x 11^1. So there you have it, sweetie, prime factor of 55 using exponents in a nutshell.
The prime factorization of one billion using exponents is 2^9 x 5^9
The prime factorization of 10,000 is 2^4 * 5^4. This is because 10,000 can be expressed as 2 * 2 * 2 * 2 * 5 * 5 * 5 * 5, which simplifies to 2^4 * 5^4. This means that 10,000 is the product of four 2's and four 5's.
You don't find the prime factorization by using exponents, they're just a shorthand for notation once you find it. The prime factorization of 900 is 22 x 32 x 52
24*3
(a) what is the prime factorization of 5184 using exponents? (b)Use the answer (a) to find the square root of 5184
36 = 22 × 32
As a product of its prime factors using exponents: 2^3 times 3 times 5 = 120
42=2^3*7
The prime factorization of 90 with exponents is: 2 x 32 x 5
The prime factorization of one billion using exponents is 2^9 x 5^9
24 x 3 = 48
321 = 3*107
Exponents are a way to notate repeated factors. The prime factorization of 72 is 2 x 2 x 2 x 3 x 3. Using exponents, that's 2^3 x 3^2.
112 = 121