5*5*5*7*11 = 9625
2 x 2 x 2 x 2 x 2 x 3 = 9625 x 31 = 96
9625 is the greatest common divisor of 67375 and 529375. Note that 9625 goes into 529375 55 times. Furthermore, 9625 goes into 67375 7 times. The ways to calculate the gcd are prime factorization, or writing out all the factors of each number. Many more advanced calculators will also do this for you. The TI 89 for example can do it.
To find the factors of a number, it is easiest to first split that number into its prime factors. 9625 ends in 5, so obviously can divide by 5. If we do this we get 1925, which also ends in 5 so can be divided by 5 again. If we do this we get 385, which also ends in 5 so can be divided by 5 again. If we do this we get 77. This is known from times tables to be 7x11. Thus we have finished prime factorization and the prime factors are 5, 5, 5, 7 and 11. In order to find all the other factors (apart from 1 and 9625) you just have to multiply these prime factors together in any combination. Do this and you can find that all the factors of 9625 are: 1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925 and 9625.
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.
When all the factors are prime numbers, that's a prime factorization.
Prime Factorization of 22The prime factorization of 22 is:2 X 11Both numbers are prime, so 2 X 11 is the prime factorization of 22.
prime factorization is the factorization of numbers
The prime factorization is... 2x2x2x2x2x5x5
how do i get the prime factorization of 45
Prime factorization!
When asked for a factorization, it is generally understood to mean the prime factorization.