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You can quickly find the factors for even numbers 50 to 100 by dividing each number by all possible factors (starting from 2) until reaching the square root of the number. If a number is divisible without a remainder, then it is a factor of that even number. Repeat this process for each even number between 50 and 100.
To find out if a number is a square number, find its prime factors and check if all prime factors duplicate. In this example, the prime factors are: 2,2,5,5,5,5 We can see that all numbers are duplicates, and can be paired up. So 2500 is a square number of 2x5x5 or 50.
1,2,3,4,6,9,12,18 are the factors of 36.
Find the factors of all three numbers and then find the largest number that is in each list: i.e. the factors of 18 are 1, 2, 3, 6, 9, 18. So for example, to find the greatest common factor of 21, 28 and 42, find the factors of each: Factors of 21 are 1,3,7,21 Factors of 28 are 1,2,4,7,14,28 Factors of 42 are 1,2,3,6,7,14,21,42 The highest number that is in all three lists is 7. Therefore, 7 is the greatest common factor. Note: A factor is a number that divides evenly into the number. So, 2 divides evenly into 8 so 2 is a factor of 8. 3 divides evenly into 9 so 3 is a factor of 9, etc.
Prime factorization is when you find all the prime factors of a number.