Multiples

# What are the Multiples of 35 | All Multiples of 35 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

Contents

### What are the Multiples of 35 | All Multiples of 35 up to 1000

**The first ten multiples of 35 are presented as follows: 35, 70, 105, 140, 175, 210, 245, 280, 315, and 350.**

The multiples of 35 are a sequence of numbers that can be obtained by multiplying the number 35 with a sequence of natural numbers.

**The difference between any two consecutive numbers in the sequence of multiples of 35 is always 35.**

To find the multiples of 35, you need to perform a repeated addition of the number 35 or multiply the number 35 with a sequence of natural numbers.

Alternatively, the multiples of 35 are the numbers that when divided by 35 do not leave any remainder.

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**What are the first five multiples of 35**

The multiples of 35 are a sequence of numbers that can be obtained by multiplying the number 35 with a sequence of natural numbers. The difference between any two consecutive numbers in the sequence of multiples of 35 is always 35. Alternatively, the multiples of 35 are the numbers that when divided by 35 do not leave any remainder.

To find the multiples of 35, you need to perform a repeated addition of the number 35 or multiply the number 35 with a sequence of natural numbers.

Step 1: To find the first multiple of 35, multiply 35 by 1. 35 x 1 = 35.

Step 2: To find the second multiple of 35, multiply 35 by 2. 35 x 2 = 70. Alternatively, you can add 35 to the first multiple to get the second multiple of 35. 35 + 35 = 70.

Step 3: Multiply 35 by 3 to get the third multiple of 35. 35 x 3 = 105. Alternatively, you can add 35 two times to the second multiple to get the third multiple of 35. 70 + 35 = 105.

Step 4: The fourth multiple of 35 can be found by multiplying 35 by 4. 35 x 4 = 140. Alternatively, you can add 35 three times to the third multiple to get the fourth multiple of 35. 105 + 35 = 140.

Step 5: To find the fifth multiple of 35, you need to multiply 35 by 5. 35 x 5 = 175. Alternatively, you can add 35 four times to the fourth multiple to get the fifth multiple of 35. 140 + 35 = 175.

**Therefore, the first 5 multiples of 35 are 35, 70, 105, 140, and 175.**

**How to find the Multiples of 35**

To find the multiples of 35 two methods can be used. The first few multiples of 35 are listed as follows: 35, 70, 105, 140, 175, and so on. The multiples of 35 are a sequence of numbers that can be obtained by multiplying the number 35 with a sequence of natural numbers. The difference between any two consecutive numbers in the sequence of multiples of 35 is always 35.

**Finding multiples of 35 using the repeated addition method**

The first multiple of 35 is 35 itself. To find the second multiple of 35, we add 35 to the first multiple, which gives 70. Continuing this process, we can obtain the third, fourth, and so on multiples of 35. An example of the first five multiples of 35 using the repeated addition method is given below:

35

35 + 35 = 70

70 + 35 = 105

105 + 35 = 140

140 + 35 = 175

**Finding the multiples of 35 using the multiplication method**

we can find the multiples of 35 by multiplying 35 with a sequence of natural numbers. The difference between any two consecutive numbers in the sequence of multiples of 35 is always 35.

An example of finding the first five multiples of 35 using this method is given below:

35 x 1 | 35 |

35 x 2 | 70 |

35 x 3 | 105 |

35 x 4 | 140 |

35 x 5 | 175 |

**Finding the first 20 multiples of 35**

To find the first 20 multiples of 35 using the multiplication method, we can follow similar steps as above. First, we create the sequence of natural numbers from 1 to 20. Then, we multiply each number in the sequence by 35 to find the corresponding multiples. The first 20 multiples of 35 are given below:

35 x 1 | 35 |

35 x 2 | 70 |

35 x 3 | 105 |

35 x 4 | 140 |

35 x 5 | 175 |

35 x 5 | 210 |

35 x 6 | 245 |

35 x 7 | 280 |

35 x 9 | 315 |

35 x 10 | 350 |

35 x 11 | 385 |

35 x 12 | 420 |

35 x 13 | 455 |

35 x 14 | 490 |

35 x 15 | 525 |

35 x 16 | 560 |

35 x 17 | 595 |

35 x 18 | 630 |

35 x 19 | 665 |

35 x 20 | 700 |

**What are the multiples of 35 up to 1000**

35 | 70 | 105 | 140 | 175 | 210 | 245 | 280 |

315 | 350 | 385 | 420 | 455 | 490 | 525 | 560 |

595 | 630 | 665 | 700 | 735 | 770 | 805 | 840 |

875 | 910 | 945 | 980 | – | – | – | – |

**Difference between Multiples and Factors of 35**

In mathematics multiples and factors are two very different concepts.

Multiples | Factors |

The multiples of 35 are the numbers that can be obtained by multiplying 35 with other integers. The multiples of 35 are presented as follows 35, 70, 105, 140, 175, 210, and so on. | The factors of 35 are the numbers that can be multiplied together to get 35. The factors of 35 are presented as follows 1, 5, 7, and 35. These are the numbers that divide 35 without leaving a remainder. |

In summary, the factors of 35 are presented as follows 1, 5, 7, and 35, while the multiples of 35 are an infinite set of numbers that can be obtained by multiplying 35 with other integers.

**Solved Examples for Multiples of 35**

**What is the 5th multiple of 35?**

Solution: To find the 5th multiple of 35, we simply multiply 35 by 5. Therefore, the 5th multiple of 35 is 35 x 5 = 175.

**Find the sum of the first 6 multiples of 35.**

Solution: The first 6 multiples of 35 are 35, 70, 105, 140, 175, and 210. To find the sum of these numbers, we add them up: 35 + 70 + 105 + 140 + 175 + 210 = 735.

**What is the least common multiple (LCM) of 35 and 70?**

Solution: The multiples of 35 are 35, 70, 105, 140, 175, 210, and so on. The multiples of 70 are 70, 140, 210, 280, and so on. The least common multiple of 35 and 70 is the smallest number that is a multiple of both 35 and 70. From the lists of multiples above, we can see that the LCM of 35 and 70 is 70.

**Find the product of the first 4 odd multiples of 35.**

Solution: The first 4 odd multiples of 35 are 35, 105, 175, and 245. To find their product, we simply multiply them together: 35 x 105 x 175 x 245 = 43171875.

**How many multiples of 35 are there between 100 and 500?**

Solution: To find the number of multiples of 35 between 100 and 500, we need to find the first multiple of 35 greater than or equal to 100 and the last multiple of 35 less than or equal to 500. The first multiple of 35 greater than or equal to 100 is 105, and the last multiple of 35 less than or equal to 500 is 490. We can count the multiples of 35 between 105 and 490 by dividing the difference by 35 and adding 1 (to include both endpoints): (490 – 105) ÷ 35 + 1 = 13. Therefore, there are 13 multiples of 35 between 100 and 500.

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**FAQs on Multiples of 35**

### What is a multiple of 35?

A multiple of 35 is any number that can be expressed as the product of 35 and an integer. In other words, if you can divide a number by 35 and get a whole number, then it is a multiple of 35.

### What are the first five multiples of 35?

The first five multiples of 35 are 35, 70, 105, 140, and 175.

### What is the largest multiple of 35 that is less than 1000?

To find the largest multiple of 35 that is less than 1000, we can divide 1000 by 35 and find the largest whole number less than the result. Doing this calculation, we get 28 as the largest whole number less than 1000/35. Therefore, the largest multiple of 35 that is less than 1000 is 35 x 28 = 980.

### What is the relationship between multiples and factors of 35?

The factors of 35 are the numbers that can divide 35 without leaving a remainder. The multiples of 35 are the numbers that can be obtained by multiplying 35 by any integer. So, for example, 35 has factors of 1, 5, 7, and 35, and its multiples include 70, 105, 140, and so on.

### How can I find the common multiples of 35 and another number?

To find the common multiples of 35 and another number, you can list the multiples of each number and look for the ones that appear in both lists. For example, if you want to find the common multiples of 35 and 40, you can list the multiples of each: 35, 70, 105, 140, 175, 210, 245, 280, 315, 350… and 40, 80, 120, 160, 200, 240, 280, 320, 360, 400… The common multiples are 280 and 560, since they appear in both lists.

Written by

Prerit Jain