Find wheter the first number is a factor of the second number or not (a) 15,75 (b) 13,40 (c) 14,60 ( d) 7,42 (e) 6,48
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1...The factors of 15 are 15, 5, 3, 1.
The factors of 75 are 75, 25, 15, 5, 3, 1.
The common factors of 15 and 75 are 15, 5, 3, 1, intersecting the two sets above.
In the intersection factors of 15 ∩ factors of 75 the greatest element is 15.
Therefore, the greatest common factor of 15 and 75 is 15.
2...The factors of 13 are 13, 1.
The factors of 40 are 40, 20, 10, 8, 5, 4, 2, 1.
The common factors of 13 and 40 are 1, intersecting the two sets above.
In the intersection factors of 13 ∩ factors of 40 the greatest element is 1.
Therefore, the greatest common factor of 13 and 40 is 1.
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3......The factors of 14 are 14, 7, 2, 1.
The factors of 60 are 60, 30, 20, 15, 12, 10, 6, 5, 4, 3, 2, 1.
The common factors of 14 and 60 are 2, 1, intersecting the two sets above.
In the intersection factors of 14 ∩ factors of 60 the greatest element is 2.
Therefore, the greatest common factor of 14 and 60 is 2.
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4....
The factors of 42. Answer : 1,2,3,6,7,14,21,42, Related Links : Is 42 a rational number
5.....Prime factorization is an extension of factorization in which all the factors are prime numbers. For example, suppose we want theprime factorization of 48 . The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 .
The factors of 75 are 75, 25, 15, 5, 3, 1.
The common factors of 15 and 75 are 15, 5, 3, 1, intersecting the two sets above.
In the intersection factors of 15 ∩ factors of 75 the greatest element is 15.
Therefore, the greatest common factor of 15 and 75 is 15.
2...The factors of 13 are 13, 1.
The factors of 40 are 40, 20, 10, 8, 5, 4, 2, 1.
The common factors of 13 and 40 are 1, intersecting the two sets above.
In the intersection factors of 13 ∩ factors of 40 the greatest element is 1.
Therefore, the greatest common factor of 13 and 40 is 1.
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3......The factors of 14 are 14, 7, 2, 1.
The factors of 60 are 60, 30, 20, 15, 12, 10, 6, 5, 4, 3, 2, 1.
The common factors of 14 and 60 are 2, 1, intersecting the two sets above.
In the intersection factors of 14 ∩ factors of 60 the greatest element is 2.
Therefore, the greatest common factor of 14 and 60 is 2.
..
4....
The factors of 42. Answer : 1,2,3,6,7,14,21,42, Related Links : Is 42 a rational number
5.....Prime factorization is an extension of factorization in which all the factors are prime numbers. For example, suppose we want theprime factorization of 48 . The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 .
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