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936 = 23 x 32 x 13

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Q: What is the prime factorization of 936 using exponents when repeated factors appear?
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Continue Learning about Other Math

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 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 smallest integer k such that 540k is a cube number?

You can factor 540 into prime factors. Then, for each prime factor that doesn't appear 3, 6, 9, ... times, add additional factors to complete a multiple of 3. These factors will make up the number "k".

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75 = 3 x 52


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22 x 32 = 36


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2 x 72 = 98


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23 x 32 x 17 = 1224


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22 x 52 x 13 = 1300