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What is different about factoring with a common factor and factoring by the greatest common factor?

When you divide 2 or more numbers by a common factor which is not the greatest common factor, they will still have a common factor which is greater than 1. When you divide them by their greatest common factor, the quotients are coprime - that is, they no longer have a factor in common other than 1.


How would you make a factor tree for 864?

Very carefully, and with great patience. Preferably starting by factoring out small prime numbers, like 2.


What is the highest common factor of 33 and 22?

Always start by factoring the numbers into primes: 33 = 3*11 22 = 2*11 The only common factor is 11. It is the highest common factor.


How to break down 196 in prime numbers?

To factor 196, start with any of its factor pairs and then keep factoring the composite numbers until all are prime. 2 x 98 2 x 2 x 49 2 x 2 x 7 x 7 = 196


How do you factor an amount by 2?

In this case, factoring is dividing. Divide everything by 2.


How do you do a factor tree for 114?

When factoring a number, you should try and focus on the smaller numbers that you can factor easily. But some numbers don't have many factors at all. Here are the factors for 114: Answer: 1 2 3 6 19 38 57 114 I have attached a relative link if you need more help in this area.


What is meant by the term common factoring?

The term common factoring is relating to what is common among two or more things. This same technique is used in math. In math some problems require the common factor to be found. A common factor of the numbers 4 and 8 would be the number 2.


What is the prime factorzation of 62?

When factoring numbers like these, start looking for small factors (2, 3, 5, 7). If you find a factor, divide the number by the factor to get the other factor. Then look for additional factors, until you can find no more.


What is the greatest factor of 25 and 70?

The greatest common factor? Start by factoring both numbers into primes: 25 = 5*5 70 = 2*5*7 The only prime factor in common is a single 5. So the answer is 5.


What are the prime factorization numbers of 68?

To find the prime factors of 68 start with any factor pair of 68 and keep factoring the composite numbers until all factors are prime: 2 x 34 2 x 2 x 17


What are the three methods of factoring?

1. Factoring out a common monomial 2. Factoring out the differnece of two perfect square numbers 3. Factoring out a common binomial


What is the greatest common factor of 36 40 and 78?

The GCF of 36, 40, and 78 is 2.The GCF can't be greater than the smallest difference between any of the numbers (40-36 = 4). 4 is not a factor of 78, so, factoring 4, the only other option is 2, which is a factor of all three numbers.