24 x 33 x 52 = 10800
22 x 33 x 54 = 67500
Select the lower exponents.
22 x 33 x 52 = 2700, the GCF
You don't find the prime factorization by using exponents, they're just a shorthand for notation once you find it. The prime factorization of 900 is 22 x 32 x 52
2^3 x 3 = 24
The prime factorization of the number 33 is: 3 x 11
To find the prime factorization of a number, it helps to divide it by any obvious factors. In this case, 156 is even so we can divide by 2. Do this and we get 78, which is also even. Divide by 2 again and we get 39, which is divisible by 3. Do that and we get 13 which is prime. Thus the prime factorization of 156 is 2x2x3x13. If we want to use exponents this can be written as 22x3x13
Writing down all the factors of both numbers requires too much time so it is not a good idea to find solution by writing each factor of both numbers. Method of prime factorization is one of the good methods to find GCF. Prime factorization is like breaking a number into other numbers, prime numbers, and this factorization is unique. Prime factorization is like a blueprint for numbers. Prime factorization of 1820 = 22 x 5 x 7 x 13 Prime factorization of 637 = 7 x 7 x 13 7, 13 and 7x13 are common in the prime factorization of both numbers, but 7x13 is the greatest among these numbers. So, 7x13 = 91 is the GCF of 1820 and 637.
The prime factorization of 90 with exponents is: 2 x 32 x 5
You don't find the prime factorization by using exponents, they're just a shorthand for notation once you find it. The prime factorization of 900 is 22 x 32 x 52
Write the prime factorization with exponents. Add 1 to each exponent. (Numbers without exponents actually have the exponent 1.) Multiply them together. That will be the number of factors.
The prime factorization of 345 is 3 * 5 * 23. Technically, none of these have exponents, but you could argue (and quite correctly) that they are 31 * 51 * 231. Either way, you have 1) no numbers with exponents, or 2) three numbers with exponents, so the answer is false.
112 = 121
3^2 x 5 = 45
2.2.3 and
24*3
(a) what is the prime factorization of 5184 using exponents? (b)Use the answer (a) to find the square root of 5184
36 = 22 × 32
There is no need to do prime factorization as prime numbers are already prime. You do not need to find the prime numbers that when multiplied together create the number.
42=2^3*7