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What is the gcf of 35 and 49 using prime factorization?
5 x 7 = 357 x 7 = 49Select the common factor.The GCF is 7.
What is the greatest common factor of 35 and 63 and 84?
The GCF of 35, 63, and 84 is 7. The prime factorization of 35 is 5*7. The prime factorization of 63 is 3*3*7 The prime factorization of 84 is 2*2*3*7 The GCF of 35, 63, and 84 is thus 7.
How can you use the prime factorization to determine whether 35 is a factor of the number?
If the prime factorization contains a 5 and a 7, 35 is a factor.
What does a factorization look like?
The prime factorization of a number uses only primes. Ex: The prime factorization of 12 is not 6 x 2, and not 4 x 3, because 6 and 4 are not prime numbers. The prime factorization is 2 x 2 x 3. Their product is 12 and all factors are prime numbers. To get a prime factorization you are usually taught to factor through division by small prime numbers, sometimes you must use the same number more than once as in the example of 12 above 2 was used twice. Ex: find the prime factorization of 18. The smallest prime is 2... divide by 2 18 / 2 = 9 .... for the next step divide 9 by a prime 9 / 3 = 3 ... this is a prme ... it is also a factor so the prime factorization is 18 = 2x3x3 Ex. find the prime factorization of 35. 35 cannot be divided by 2, or 3, so use 5 first 35 / 5 = 7 .... since 7 is a prime we are finished. The prime factorization of 35 is 35 = 5 x 7 Some teachers teach this using a "factor tree" .. I can't type one of those on a computer.
How do you do prime factorization of 35 and 14 in greatest common factor?
Use factor trees.355,7142,75 x 7 = 352 x 7 = 14Select the common factor.The GCF is 7.
