Multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, … and so on. How do we get to know a number is multiple of another number? If a number is multiple of another number, then it is evenly divisible by the original number. For example, 14 divided by 7 is equal to 2, thus it is a multiple of 7. Show
Any number that can be denoted in the form 7n where n is a natural number is a multiple of 7. So if two values p and q are there, we say that q is a multiple of p if q = np for some natural number n. Let’s look at the factors and multiples of 7 here. All numbers which can be divided by 7 are a multiple of 7. For example, 7, 70, 77 and 49 are all multiples of 7 for the following reasons
These values are called as multiples because these values are obtained by adding or subtracting original value many times. What is Multiple?A multiple is a numerical value that is generated when a natural number is multiplied by another natural number or counting number. Multiples of 7 can be generated by multiplying 7 to the counting numbers. Let us see the list og multiples of number 7 in the next section.
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What is Common Multiple?Common multiple is a whole number that is common to two or more numbers. It means two or more numbers share a single whole number as a common multiple. Let us understand with the help of examples. Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40,.. Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,… We can see the common multiple of 4 and 7, from the above-given multiples is 28. Therefore, 28 is the least common multiple of 4 and 7. Video Lesson on Common MultiplesSolved ExamplesQ.1: What is the sum of the first five multiples of 7? Answer: The first five multiples of seven are 7, 14, 21, 28 and 35 Sum = 7 + 14 + 21 + 28 + 35 = 105 Q.2: What is the average of the first ten multiples of 7? Answer: The average of the first ten multiples of 7 is equal to the sum of all the multiples divided by 10. Average = (7+14+21+28+35+42+49+56+63+70)/10 = 385/10 = 38.5 Therefore, the required average is 38.5. Q.3: How to check if a number is a multiple of 7? Answer: If a number is multiple of 7, then it is evenly divisible by 7. Suppose, 49 is a multiple of 7 because 49/7 = 7 Let us check if 66 is the multiple of 7 or not. 66/7 = 9.42.. (Quotient is a fraction) Therefore, 66 is not a multiple. Q.4: What are the multiples of 7 that are less than 30? Answer: The multiples of natural number 7, which are less than 30 are 7,14,21 and 28. Q.5: What is the least common multiple of 6 and 7? Answer: To find the least common multiple of 6 and 7, first we will write the multiples of each of the numbers. Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60. Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70 Therefore, we can see, the LCM of 6 and 7 is 42. Register at BYJU’S to learn more on multiples of other numbers and
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first ten multiples of 7 in Maths are 7, 14, 21, 28, 35, 42, 49, 56, 63 and 70. The multiples of 7 between 1 to 100 are 7 , 14 , 21 , 28 , 35 , 42 , 49 , 56 , 63 , 70, 77, 84, 91, 98. Between 40 and 60, there are only three multiples of 7, they are 42, 49 and 56. The multiples of 7 between 100 to 200 are 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, and 196. The number 7 can have infinitely
many multiples. What is the probability that a three digit number that is multiple of 7 is also multiple of 5?If it's given that the number is a multiple of 7,it needs to be a multiple of 35 if the same number is also a multiple of 5. There are about [900/35]= 25 numbers satisfying this condition. And the sample space here, are the collection of three digit numbers divisible by 7 which is [900/7]= 128.
What is the probability that a three digit number that is a multiple of 7?What is the probability that a randomly chosen positive three-digit integer is a multiple of 7? Then there are 142−14=128 numbers that are multiples of 7. Then the probability is: 128900.
What is the sum of all 3 digit numbers which are multiples of 7?Thus, the sum of all three digit natural numbers which are multiples of 7 is 70336.
How many 3 digit numbers are there which are multiples of 7?There are 128 three digit (3-digit) numbers that are multiples of 7.
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