In the multiplication sentence 3x5=15, the numbers 3 and 5 are known as factors. Factors are the numbers that are multiplied together to obtain a product. In this case, 3 and 5 are the factors that, when multiplied, result in the product of 15.
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Here is one factor tree of 300: 300 20 x 15 (4x5) x (3x5) ((2x2)x5) x (3x5) You have reduced it to prime numbers, so you are finished. The factors of 300 are 2, 2, 3, 5, and 5.
4^3x5^2
4 = 4, and 4 = 2 x 2, so either a single prime number to the power 4-1 (23, 33, etc.), or two different prime numbers, each to the power 2-1, for example, 2x3, 2x5, 3x5, etc.
Any numbers that don't have common prime factors will do; for example, 23 and 32; 2x3 and 5x7, 3x5 and 2x7, etc.Any two consecutive numbers will have no common factor, for example, 8 and 9 (the first example I gave above), or 100 and 101. However, in the second example, 101 is not a composite number.
........................600 ........................../\ ........................2x300 ............................../\ ............................2x150 ................................./\ ...............................2x75 .................................../\ .................................5x15 ...................................../\ ................................... 3x5 (remove the dots)