To find the GCF of any set of numbers. Divide the numbers by their prime number factors, and see which is common to each number in the set. Hence 160,240 & 200. 160 = 2x2x2x2'x2'x5 200 = 2x2x2x5'x5 240 = 2x2x2x2'x3'x5 So each number has 2x2x2x5 (common to all three numbers) 2x2x2x5 = 40 The GCF. NB THe other factors are discrete to the given number. So for 200 the second '5' is discrete to 200 and so is not common to all the other numbers. I have written the discrete numbers as (2') etc.,
All numbers have factors. Some factors are prime numbers. A prime factor is a factor that is a prime number. A common prime factor is a prime factor that appears on the list of factors of two or more given numbers.
A factor can or cannot be a prime number Ex: 2 is the factor of all other even numbers its a prime number but 9 is a factor of 18 and its not a prime number A prime is a factor but a factor being a prime number varies
A composite factor is a factor that is a composite number, as opposed to a prime factor which is a factor that is a prime number.
12 is a composite number, not a prime factor.
2x2x2x5
2x2x2x5
The prime factorization of 40 is 2x2x2x5 or 23x5.
The prime factors of 25 are 5x5. The prime factors of 40 are 2x2x2x5.
Prime factorization of 40 = 2x2x2x5 Prime factorization of 100 = 2x2x5x5
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.
Yes, the prime factorization of 40 is 2 x 2 x 2 x 5
Prime factor both then use the factors the number of times it was used the most in either one. 10=2x5 8=2x2x2 2x2x2x5=40
25=5x5 40=2x2x2x5 5 is the common factor
To work this out, you have to split the numbers into the product of their prime factors: 25 = 5x5 40 = 2x2x2x5 The next step is to identify any common factors. In this case, both numbers have a 5 as a prime factor. Thus the HCF of 25 and 40 is 5.
I factor each and then use each prime factor the most it was used in either number. 40=2x2x2x5 12=2x2x3 LCM=2x2x2x3x5=120 You can also write out the multiples of each until you have one that is in both lists. 12,24,36,48,60,72,84,96,108,120 40,80,120
Yes, 2x2x2x5 can be written in prime factorization as 2^3 x 5. In prime factorization, we break down a number into its prime factors. Here, 2 is a prime number and appears three times, so we write it as 2^3. The number 5 is also a prime number and appears once, so we simply write 5.