write the prime factorization of 625
300
Prime numbers don't factorize; they're already prime.
To write prime numbers in multiplication form, you simply list them as factors multiplied together. For example, the prime factorization of 12 is 2 x 2 x 3, as 2 and 3 are prime numbers. Likewise, the prime factorization of 20 is 2 x 2 x 5.
The prime factorization of 44 is 2 x 2 x 11 or, in index form (in other words, using exponents), 22x11
To express 160 in index form using prime factors, we first need to find the prime factors of 160. Breaking down 160 into its prime factors, we get 2^5 * 5. Therefore, in index form, 160 can be written as 2^5 * 5.
32 x 19
23 x 53 = 1000
22 x 3 = 12
write the prime factorization of 625
Well, let's take a moment to appreciate the number 240. If we break it down into its prime factors, we get 2 x 2 x 2 x 2 x 3 x 5. In index form, this would be written as 2^4 x 3 x 5. Isn't it wonderful how numbers can be broken down into their simplest, most beautiful form?
Think of the "ex" in index as meaning exponent. Write the prime factorization with exponents. 216 = 23 x 33
It is: 2^4 times 3^2 = 144
48 24,2 12,2,2 6,2,2,2 3,2,2,2,2 2 x 2 x 2 x 2 x 3 = 48
It is: 23*3*52 = 600
First determine the prime factors. then write in exponent form (power form or index form) thus your answer would be 2^2 x 13^2.
189 = 3 x 3 x 3 x 7 = 33 x 7