In the factor of 60, which is a multiple of 3 and a multiple of 5, what is the difference?

In the factor of 60, which is a multiple of 3 and a multiple of 5, what is the difference?


15,30,45,60



How many numbers are there that are factors of 60 and multiples of 3? Can you write them out?
There must be a reason!


There are six numbers that are both factors of 60 and multiples of 3
3,6,12,15,30,60



In 3, 15, 20, 60, 7, 28, 120, the factor of 60 is______ The multiples of 7 are______ .


In 3, 7, 15, 20, 28, 60, 120, the factors of 60 are: 3, 15, 20, 60, the multiples of 7 are 7, 28; so the answer is: 3, 15, 20, 60, 7, 28



How to find the factor and multiple of a number?


In Division A, if the divisor is divided by the divisor, the quotient obtained is all natural number without remainder, that is to say, the divisor is the multiple of the divisor, and the divisor is the factor of the divisor. B we divide a composite number into several prime numbers, which are called the prime factors of the composite number



Find the relationship between the factor and multiple of a number


The relationship between factors and multiples is: the number of factors is limited, while the number of multiples is infinite. Therefore, there is no relationship between them. A number can be divided by another number, which is the multiple of another number. An integer can be divided by another integer, which is the factor of the former. A number can be divided by two other numbers, This number is the common multiple of the other two numbers. The least common multiple is the smallest common multiple of two or more numbers. The least common factor is the smallest common factor of two or more numbers



What are the characteristics of the factors and multiples of a number?


The factor of a number: the multiplication of two natural numbers equals to the number, which is its factor. The order of writing is from small to large
Multiple of a number: multiply 1, 2, 3, etc. by this number



Proof: given any four numbers, there must be two of them whose difference is a multiple of 3


Any integer divided by 3 has only three remainders: 0, 1, 2
Given any four numbers, there must be two numbers divided by three with the same remainder
Then the difference between the two numbers can be divided by 3, that is, the difference is a multiple of 3



Find a number that is a multiple of 3. First, cube the numbers on each digit of the number, and then add them to get a new number. Then, add each digit of the new number
Nutrition is a process of reasoning


For example, 1231 ^ 3 + 2 ^ 3 + 3 ^ 3 = 363 ^ 3 + 6 ^ 3 = 2432 ^ 3 + 4 ^ 3 + 3 ^ 3 = 999 ^ 3 + 9 ^ 3 = 14581 ^ 3 + 4 ^ 3 + 5 ^ 3 + 8 ^ 3 = 7027 ^ 3 + 0 ^ 3 + 2 ^ 3 = 3513 ^ 3 + 5 ^ 3 + 1 ^ 3 = 1531 ^ 3 + 5 ^ 3 + 3 ^ 3 = 153



A number is not only a multiple of 3 but also a multiple of 7. The minimum number is ()


21



How many numbers can 0, a, B (AB is not equal to 0) make up? Can the sum of these numbers be divided by 211?


1. If a ≠ B, 0, a and B can only be used once, then they can form 2 × 2 × 1 = 4 numbers greater than 100. The sum of these four numbers can be divided by 211. 2. If a ≠ B, 0, a and B can be used many times, then they can form 2 × 3 × 3 = 18 numbers greater than 100. The sum of these 18 numbers cannot be divided by 211