Multiples of 35
Multiples of 35 are whole numbers. They are the product of n natural numbers and 35. In other words, we can say that multiples of 35 are the numbers that can be divided by 35 without leaving any remainder. We can create n number of multiples of 35 just by multiplying 35 with n natural numbers. In this minilesson, we will calculate the multiples of 35, and we will learn some interesting facts about these.
 First five multiples of 35: 35, 70, 105, 140, and 175
 Prime Factorization of 35: 35 = 5 × 7
1.  What Are the Multiples of 35? 
2.  First 20 Multiples of 35 
3.  Challenging Questions 
4.  FAQs on Multiples of 35 
What Are the Multiples of 35?
To get multiples of a number, we need to multiply natural numbers with integers.
For example, 35 × 2 = 70; 70 is a multiple of 35.
Now let us consider the first 5 multiples of 35.
 35 × 1 = 35
 35 × 2 = 70
 35 × 3 = 105
 35 × 4 = 140
 35 × 5 = 175
According to this, the first five multiples of 35 you just learned are 35, 70, 105, 140, and 175.
First 10 Multiples of 35  
35 × 1 = 35  35 × 6 = 210 
35 × 2 = 70  35 × 7 = 245 
35 × 3 = 105  35 × 8 = 280 
35 × 4 = 140  35 × 9 = 315 
35 × 5 = 175  35 × 10 = 350 
Hence, the first 10 multiples of 35 are 35, 70, 105, 140, 175, 210, 245, 280, 315, and 350.
First 20 Multiples of 35
The first 20 multiples of 35 will be the product of natural numbers from 120 with 35. In the above section, you have learned about the first 5 multiples of 35. In this section, you will be finding the next 15 multiples of 35.
Let us try to derive multiples of 35 from 1120
Multiples of 35 from 1120  
35 × 11 = 385  35 × 16 = 560 
35 × 12 = 420  35 × 17 = 595 
35 × 13 = 455  35 × 18 = 630 
35 × 14 = 490  35 × 19 = 665 
35 × 15 = 525  35 × 20 = 700 
To understand the concept of finding multiples, let us take a few more examples.
 Multiples of 30  The first five multiples of 30 are 30, 60, 90, 120, 150
 Multiples of 32  The first five multiples of 32 are 32, 64, 96, 128, 160
 Multiples of 36  The first five multiples of 36 are 36, 72, 108, 144, 180
 Multiples of 13  The first five multiples of 13 are 13, 26, 39, 52, 65
 Multiples of 21  The first five multiples of 21 are 21, 42, 63, 84, 105
Challenging Questions:
 Find the first 15 odd multiples of 35.
 Find the sum of first 5 even multiples of 35.
 Find the common multiples of 355 and 35.
Multiples of 13 Solved Examples

Example 1: Tim's teacher told him to find the first 3 odd multiples of 35. Can you help Tim?
Solution:
The first five multiples of 35 are:
35 × 1 = 35 35 × 2 = 70 35 × 3 = 105 35 × 4 = 140 35 × 5 = 175 The first three odd multiples of 35 are 35, 105, and 175.

Example 2: If one candy costs 35 cents, using the multiples of 35, estimate the cost of 5 candies?
Solution:
1 candy = 35 cents; therefore, by using multiples of 35
Cost of 5 candies = 35 × 5 = 175 cents
Thus, the cost of 5 candies is 175 cents. 
Example 3: Using multiples of 35, evaluate 35 times 35.
Solution:
First, we will write 35 times 35 mathematically.
Using the multiples of 35, we have: 35 times 35 = 35 × 35 = 1225
Thus, 35 times 35 is 1225.
FAQs on Multiples of 35
How do you find the multiples of 35?
Multiply any natural number with 35. For example, 35 × 2 = 70
70 is the 2nd multiple of 35.
What are the first 5 multiples of 35?
The first 5 multiples of 35 are 35, 70, 105, 140, and 175.
Are all multiples of 35 even?
No, all the multiples of 35 are not even. Some multiples of 35 are even and some are odd.
For example, 35 × 1 = 35; 35 is an odd number.
35 × 2 = 70; 70 is an even number.
What are the first five multiples of 35 and 15?
First five multiples of 35 are 35, 70, 105, 140, and 175.
First five multiples of 15 are 15, 30, 45, 60, and 75.
What are the first 10 multiples of 35?
The first 10 multiples of 35 are 35, 70, 105, 140, 175, 210, 245, 280, 315, and 350.
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