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2x5x7
Prime factors of 60 are: 2, 3 and 5 Prime factors of 70 are: 2, 5 and 7
One way to solve this is to multiply the lowest prime numbers together, starting from 2: 2x3=6. 6x5=30. Multiplying by 7 would yield a 3-digit number, so we are looking for all 2-digit numbers with 3 distinct prime factors. We already have 30. 2x3x7=42. 2x3x11=66. 2x3x13=78. 2x5x7=70. So, to answer the original question, the 2-digit numbers that have the most factors in their prime factorization are, in ascending order, 30, 42, 66, 70, and 78.
154/2=77, 154/7=22; 154/11=14; 2x7x11=154 70/2=35, 70/5=14; 70/7=10; 2x5x7=70 182/2=91; 154/7=13; 2x7x13=182 The only common prime factors are 2 and 7; 7 is the largest of the prime factors and 14 is the largest common divisor of all three numbers.
The factors of 70 that are not prime numbers are 2, 5, 7, 10, 14, 35, and 70. Prime numbers are numbers that are only divisible by 1 and themselves. In the case of 70, the factors that are not prime are the numbers that can be divided evenly into 70 aside from 1 and 70.