Prime factorization is breaking down a number into all of the prime numbers that make it up.
For example, in 128, since it is even, the easiest first step would be diving by two, a Prime number.
64 * 2 = 128. Now divide 64, another even number, by two.
32 * 2 * 2 = 128. Divide 32 by two.
16 * 2 * 2 * 2 = 128. Divide by two again.
8 * 2 * 2 * 2 * 2 = 128. Divide by two again.
4 * 2 * 2 * 2 * 2 * 2 = 128. Divide by two a final time.
2 * 2 * 2 * 2 * 2 * 2 * 2 = 128. This is your prime factorization.
But you write it condensed, so 27 would be the prime factorization for 128.
128 = 27
2^7
The prime factorization of 128 is: 2 x 2 x 2 x 2 x 2 x 2 x 2 or 27
128 64,2 32,2,2 16,2,2,2 8,2,2,2,2 4,2,2,2,2,2 2,2,2,2,2,2,2
To find the greatest common factor of 128 and 224, we need to determine the largest number that divides both 128 and 224 without leaving a remainder. To do this, we can find the prime factorization of both numbers. The prime factorization of 128 is 2^7, and the prime factorization of 224 is 2^5 * 7. To find the greatest common factor, we take the lowest power of each common prime factor, which is 2^5, resulting in a greatest common factor of 32.
Prime factorization for 128 is 27
128 = 27
27
2^7
The prime factorization of 128 is: 2 x 2 x 2 x 2 x 2 x 2 x 2 or 27
128 64,2 32,2,2 16,2,2,2 8,2,2,2,2 4,2,2,2,2,2 2,2,2,2,2,2,2
27 = 128
128 64,2 32,2,2 16,2,2,2 8,2,2,2,2 4,2,2,2,2,2 2,2,2,2,2,2,2
To find the greatest common factor of 128 and 224, we need to determine the largest number that divides both 128 and 224 without leaving a remainder. To do this, we can find the prime factorization of both numbers. The prime factorization of 128 is 2^7, and the prime factorization of 224 is 2^5 * 7. To find the greatest common factor, we take the lowest power of each common prime factor, which is 2^5, resulting in a greatest common factor of 32.
The least common multiple (LCM) of 40, 80, and 128 is 640. To find the LCM, you can find the prime factors of each number and then take the highest power of each prime factor that appears in any of the numbers. In this case, the prime factorization of 40 is 2^3 * 5, the prime factorization of 80 is 2^4 * 5, and the prime factorization of 128 is 2^7. Taking the highest powers, we get 2^7 * 5 = 640.
To find the Least Common Multiple (LCM) of 16, 128, and 64, we first need to factorize each number into its prime factors. The prime factorization of 16 is 2^4, 128 is 2^7, and 64 is 2^6. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers. Therefore, the LCM of 16, 128, and 64 is 2^7, which equals 128.
No, 3x5x4 is not a prime factorization of 60. A prime factorization of 60 would consist of only prime numbers. The prime factorization of 60 is 2x2x3x5.