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What if no numbers are repeated to find the mode?
If no number is repeated then every number that appears once is a mode. They appear once, which is more often than any numbers that do not appear at all.
How do you find GCF with variables and exponents?
For each variable, find the smallest exponent in all the expressions. If the variable does not appear in one of the expressions, it's exponent may be taken as 0. Also, remember that if a variable seems to be without an exponent, its exponent is actually 1 (that is x is the same as x1). For example, GCF(a3bc, a2c3, a3b2c3) = a2c. Exponents of a are 3, 2 and 3: smallest = 2 Exponents of b are 1, 0 and 2: smallest = 0 Exponents of c are 1, 3 and 3: smallest = 1 The same rules apply for fractional exponents.
How do you use prime factorization to find the greatest common factor?
1) Get the prime factors for each number. 2) In the result, include all the prime factors that appear in ALL the numbers. If a prime factor appears in different powers, use the lowest power. Example 1: 14 = 2 x 7 21 = 3 x 7 The only common factor is 7. Example 2: 12 = 22 x 3 80 = 24 x 5 Use 22 as the common factor.
What is the GCF for 78 168 486?
To find the Greatest Common Factor (GCF) of 78, 168, and 486, we first need to find the prime factorization of each number. 78 = 2 * 3 * 13 168 = 2^3 * 3 * 7 486 = 2 * 3^5 Next, we identify the common prime factors among the three numbers, which are 2 and 3. The GCF is the product of these common prime factors raised to the lowest power they appear in any of the numbers. Therefore, the GCF of 78, 168, and 486 is 2 * 3 = 6.
What is the largest prime number that can divide into 121 and 143 without any remainders?
The idea here is to factor each of the numbers. Then look for common factors, i.e., factors that appear in both numbers.
What is the prime factorization of 196 using exponents when repeated factors appear?
22*72 = 196
What is the prime factorization of 4 using exponents when repeated factors appear?
2^2 = 4
What is the prime factorization of 75 using exponents when repeated factors appear?
75 = 3 x 52
What are prime factorization of 36 using exponents when repeated factors appear?
22 x 32 = 36
What the prime factorization of 98 using exponents when repeated factors appear?
2 x 72 = 98
What is the prime factorization of 1701 using exponents when repeated factors appear?
35 x 7 = 1701
What are the prime factorization of 245 using exponents when repeated factors appear?
245 = 51 x 72
What is the prime factorization of 441 using exponents when repeated factors appear?
441 = 32 x 72
What is the prime factorization of 4300 using exponents when repeated factors appear?
22*52*43 = 4300
What is the prime factorization of 792 using exponents when repeated factors appear?
23 x 32 x 11 = 792
What is the prime factorization of the number 1300 with exponents repeated factors appear?
22 x 52 x 13 = 1300
Find the prime factorization of 1300 use exponents when repeated factors appear?
22 x 52 x 13
