The prime factorization, using exponents, of 160 is: 25 x 5
The prime factorization of 32 is 2x2x2x2x2 or 25. The prime factorization of 40 is 2x2x2x5 or 23x5. For a number to be a multiple of a given number the multiple must have the entire prime factorization of that number in is. So a multiple of 32 must contain 2x2x2x2x2 or 25 . Likewise a multiple of 40 must contain 2x2x2x5 or 23x5. The least number that this could possible happen with must have 5 factors of 2 and one factor of 5 (the highest exponent on each individual prime factor). Thus the LCM is 2x2x2x2x2x5 or 25x5 Which is 160.
160 = 2 x 2 x 2 x 2 x 2 x 5
2 x 2 x 2 x 2 x 2 x 5 = 160
160 is even so it's divisible by 2 160/2=80.....so far we have a 2 80 is even again, 80/2=40 now we have 2^2 40/2 = 20 we have 2^3 20/2 = 10 ...2^4 10/2= 5 ... 2^5 5 is prime so the prime factorization of 160 is 2^5 *5
25 x 5
The prime factorization, using exponents, of 160 is: 25 x 5
That's the prime factorization of 160.
25 x 5 = 160
The highest common factor (HCF) of 160 and 200 is the largest positive integer that divides both 160 and 200 without leaving a remainder. To find the HCF, you can use the prime factorization method. The prime factorization of 160 is 2^5 * 5, and the prime factorization of 200 is 2^3 * 5^2. To find the HCF, you take the common factors with the lowest exponent, which in this case is 2^3 * 5 = 40. Therefore, the HCF of 160 and 200 is 40.
Negative numbers don't have prime factorizations.
Prime factorization of 160 = 2 * 2 * 2 * 2 * 2 * 5
25 x 5 = 160
160 80,2 40,2,2 20,2,2,2 10,2,2,2,2 5,2,2,2,2,2
Prime factorization of 45 = 3x3x5Prime factorization of 60 = 2x2x3x5Prime factorization of 160 = 2x2x2x2x2x5Only common factors are 5 (and 1).Therefore GCF = 5.
The prime factorization of 32 is 2x2x2x2x2 or 25. The prime factorization of 40 is 2x2x2x5 or 23x5. For a number to be a multiple of a given number the multiple must have the entire prime factorization of that number in is. So a multiple of 32 must contain 2x2x2x2x2 or 25 . Likewise a multiple of 40 must contain 2x2x2x5 or 23x5. The least number that this could possible happen with must have 5 factors of 2 and one factor of 5 (the highest exponent on each individual prime factor). Thus the LCM is 2x2x2x2x2x5 or 25x5 Which is 160.
2 x 2 x 2 x 2 x 2 x 5 = 160, making it composite.