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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 mini-lesson, 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 5 multiples of 35

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 1-20 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 11-20

Multiples of 35 from 11-20
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.

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.

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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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