Write three numbers which are multiples of 7

• About • Overview • Authors & Advisors • Related Publications • Math + Programming • Think Math! • Math Routines • Mental Math • Headline Stories • Math Library • About • Overview • Authors & Advisors • Related Publications • Math + Programming • Think Math! • Math Routines • Mental Math • Headline Stories • Math Library Question: Children (and adults) are often uncertain whether the multiples of, say, 12 are the numbers one can multiply (like 3 and 4) to make 12, or the numbers that one can make by multiplying 12 times other numbers. The terms multiple and factor are often confused. What are the multiples of a number? By example: Multiples of 3, like …–9, –6, –3, 0, 3, 6, 9, 12, 15… are formed by multiplying 3 by any integer (a “whole” number, negative, zero, or positive, such as…–3, –2, –1, 0, 1, 2, 3…). Multiples of 12, like …–36, –24, –12, 0, 12, 24, 36, 48, 60…, are all 12 × n, where n is an integer. Multiples of 2, like …–8, –6, –4, –2, 0, 2, 4, 6, 8, 10, 12…, are all even, 2 × any integer. Generally: The multiples of an integer are all the numbers that can be made by multiplying that integer by any integer. Because 21 can be written as 3 × 7, it is a multiple of 3 (and a multiple of 7). Though 21 can also be written as 2 × 10 , it is not generally considered a multiple of 2 (or 10 ), because the word multiple is generally ( always in K–12 mathematics) used only in the context of integers. • Keeping the concept clear: When naming the multiples of a number, children ...

Output Count = 10 Time Complexity : O(1) Auxiliary Space: O(1) Exercise: Now try the problem of finding sum of all numbers less than or equal to n and multiples of 3 or 7 or both in O(1) time. This article is contributed by Saurabh Gupta. If you like GeeksforGeeks and would like to contribute, you can also write an article and mail your article to [email protected]. See your article appearing on the GeeksforGeeks main page and help other Geeks. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.

Multiples of 3 Did you know t he term "multiples"has a Latin origin and comes from the word "multiplex," where "multi"means "many," and "plex"means "fold?" Knowing the multiples of a number makes our calculations faster and easier. In this mini-lesson, we will calculate the multiples of 3and learn interesting facts about these multiples. • First five multiples of 3: 3, 6, 9, 12, 15 • Prime factorization of 3: 3= 3 1 1. 2. 3. 4. 5. What Are the Multiples of 3? A multiple is a result of multiplying a number by an For getting the • 3 × 1 = 3 • 3 × 2 = 6 • 3 × 3 = 9 • 3 × 4 = 12 • 3 × 5 = 15 As we list them down, we see that there are infinite multiples of 3. Observe the multiples of 3 represented on a number line. The multiples of 3 can be List of First 20 Multiples of 3 Let us write down the first 20 multiples of 3. Multiplying 3 by integers 3 × 1 = 3 3 × 2 = 6 3 × 3 = 9 3 × 4 = 12 3 × 5 = 15 3 × 6= 18 3 × 7= 21 3 × 8= 24 3 × 9= 27 3 × 10= 30 3 × 11 = 33 3 × 12 = 36 3 × 13 = 39 3 × 14 = 42 3 × 15 = 45 3 × 16 = 48 3 × 17= 51 3 × 18= 54 3 × 19= 57 3 × 20= 60 Did you observe that 15, 30, 45, and 60are also the multiples of 5? To understand the concept of finding multiples, let us take a few more examples. • • • • • Important Notes: • Multiples are what we get after multiplying two numbers. • The number of multiples for a given number are infinite. • Every number is a multiple of itself. • A multiple of the given number is always equal to or greater than the number. Tips and Tri...

The multiples of 7 are the products obtained by multiplying 7 by natural numbers. For example, we get 35 when we multiply 7 by 5. That means 35 is a multiple of 7. Similarly, 7, 14, 21, 28 and so on are the multiples of 7. The general form of the multiples of 7 can be written as 7n, where n is a natural number. We can find the different multiples of 7 by placing any natural number in the position of n. When n = 1 , 7n = 7 When n = 2 , 7n = 14 When n = 3 , 7n = 21 When n = 4 , 7n = 28 The value of n can go on till infinity. That means 7 has an infinite number of multiples, just like any other number. We can observe a pattern among the multiples of 7 with the help of a number line. Here, we can notice that the multiples of 7 are essentially a series of jumps on the number line. In other words, we are adding 7 n number of times when we multiply 7 by n. So, the difference between any two successive multiples of 7 is 7. Multiplication is an operation used for simplifying repeated addition. Memorizing the times table of numbers helps us quickly solve math problems involving repeated addition. However, to understand multiplication, we need to learn the idea of repeated addition. Here, we can see that we get the multiples of 7 by repeatedly adding 7. If 7 is added n times, we get the value of 7n, that is, the nth multiple of 7. As we have already learned, the multiples of 7 are the numbers obtained by multiplying 7 by any natural number. On the other hand, the factors of 7 are the...

• K-8th Grade • K-8th Grade • ArgoPrep for Families • ArgoPrep for Educators • Video Explanations • Promoting Learner Variability • Store • Printable Worksheets • Purchase Workbooks • SHSAT • SHSAT Program • What is SHSAT? • Reading Comprehension • SHSAT Test Dates • SHSAT Test FAQ • SHSAT Practice Test Seven is considered a lucky number in many cultures around the world. For some, the number seven represents completeness and perfection. More so, in Pythagorean numerology, 7 represents spirituality. This is because it comprises 4 and 3, which are physical and spiritual numbers, respectively. Not only does the number seven signify the jackpot on slot machines, but it is also significant for countless stories and folklore, religion, and philosophy. It is no surprise why most people are drawn into the number 7. Are you getting excited to see the remarkable side of 7 and its multiples? Multiples of are 77, 14, 21, 28, 35, 42, 49 … A multiple of 7 is a numerical value formed by multiplying one natural number by another natural number or counting number. Do you notice something on the numbers above? If you observe the numbers 7, 14, 21, 28, 32…, the difference between two consecutive numbers is always 7. Say $$21\;-\;14\;=\;7$$ , and $$35\;-\;28\;=\;7$$ . Amazing, right? They are called multiples of 7 because every time we divide a number by 7, it will give us a remainder of zero. Thus, to say that a number is a multiple of 7, it should be in the form of 7n where n is any natura...

• Calculators • Percentage Calculators • • • • • • • • • • Fractions Calculators • • • • • • • • • • • Numbers • • • • • • • • • • • • • • • • • • • • • • • Miscellaneous Math • • • • • • Geometry • • • Finance • • • f) • • • Heath & Fitness • • • • • • • • • • Text Tools • • • • • Computer & Electronics • • • • • • • Time • • • • • • • • miscellaneous • • • • • Unit Converters • Length / Distance • • • • Volume ⇌ Mass • • • • • Weight / Mass • • • • • • • • • • • • • • • • • • What is a multiple in math? The multiple of a number is the product of this number by any other number (0, 1, 2, 3, ...). Our calculator works on the set of natural numbers, but there are multiples in the set of numbers, integers, real, etc. Therefore, a multiple can also be negative. For example, the number 21 can be divided by 3 without a reminder. Like this, 21 is a multiple of 7, because, 3 times 7 equals 21. In other words, we can say that 21 is a multiple of 3 because there is a natural - 3 - which multiplied by 7 equals 21. The statement '21 is a multiple of 3' is equivalent '21 is divisible by 3', or that 3 is a divider of 21. So to find the multiples of 7, simply multiply this number by a number of the set of natural numbers as many times as we want. See below how to do it for the number 7: • 7 x 0 = 0 so, 0 is a multiple of 7. • 7 x 1 = 7 so, 7 is a multiple of 7. • 7 x 2 = 14 so, 14 is a multiple of 7. • 7 x 3 = 21 so, 21 is a multiple of 7. • 7 x 4 = 28 so, 28 is a multiple of 7. The fir...