Multiples

# What are the Multiples of 42 | All Multiples of 42 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

Contents

### What are the Multiples of 42 | All Multiples of 42 up to 1000

**The first ten multiples of 42 are presented as follows: 42, 84, 126, 168, 210, 252, 294, 336, 378, and 420.**

The multiples of 42 are a sequence of numbers that can be obtained by multiplying the number 42 with a sequence of natural numbers.

**The difference between any two consecutive numbers in the sequence of multiples of 42 is always 42.**

To find the multiples of 42, you need to perform a repeated addition of the number 42 or multiply the number 42 with a sequence of natural numbers.

Alternatively, the multiples of 42 are the numbers that when divided by 42 do not leave any remainder.

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**What are the first five multiples of 42**

The multiples of 42 are a sequence of numbers that can be obtained by multiplying the number 42 with a sequence of natural numbers. The difference between any two consecutive numbers in the sequence of multiples of 42 is always 42. Alternatively, the multiples of 42 are the numbers that when divided by 42 do not leave any remainder.

To find the multiples of 42, you need to perform a repeated addition of the number 42 or multiply the number 42 with a sequence of natural numbers.

Step 1: To find the first multiple of 42, multiply 42 by 1. 42 x 1 = 42.

Step 2: To find the second multiple of 42, multiply 42 by 2. 42 x 2 = 84. Alternatively, you can add 42 to the first multiple to get the second multiple of 42. 42 + 42 = 84.

Step 3: Multiply 42 by 3 to get the third multiple of 42. 42 x 3 = 126. Alternatively, you can add 42 two times to the second multiple to get the third multiple of 42. 84 + 42 = 126.

Step 4: The fourth multiple of 42 can be found by multiplying 42 by 4. 42 x 4 = 168. Alternatively, you can add 42 three times to the third multiple to get the fourth multiple of 42. 126 + 42 = 168.

Step 5: To find the fifth multiple of 42, you need to multiply 42 by 5. 42 x 5 = 210. Alternatively, you can add 42 four times to the fourth multiple to get the fifth multiple of 42. 168 + 42 = 210.

**Therefore, the first 5 multiples of 42 are 42, 84, 126, 168, and 210.**

**How to find the Multiples of 42**

To find the multiples of 42 two methods can be used. The first few multiples of 42 are listed as follows: 42, 84, 126, 168, 210, and so on. The multiples of 42 are a sequence of numbers that can be obtained by multiplying the number 42 with a sequence of natural numbers.

The difference between any two consecutive numbers in the sequence of multiples of 42 is always 42.

**Finding multiples of 42 using the repeated addition method**

The first multiple of 42 is 42 itself. To find the second multiple of 42, we add 42 to the first multiple, which gives 84. Continuing this process, we can obtain the third, fourth, and so on multiples of 42. An example of the first five multiples of 42 using the repeated addition method is given below:

42

42 + 42 = 84

84 + 42 = 126

126 + 42 = 168

168 + 42 = 210

**Finding the multiples of 42 using the multiplication method**

We can find the multiples of 42 by multiplying 42 with a sequence of natural numbers. For instance, the first five multiples of 42 obtained by multiplying 42 with a sequence of natural numbers are

42 x 1 | 42 |

42 x 2 | 84 |

42 x 3 | 126 |

42 x 4 | 168 |

42 x 5 | 210 |

**Finding the first 20 multiples of 42**

To find the first 20 multiples of 42 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 42 to find the corresponding multiples. The first 20 multiples of 42 are given below:

42 x 1 | 42 |

42 x 2 | 84 |

42 x 3 | 126 |

42 x 4 | 168 |

42 x 5 | 210 |

42 x 6 | 252 |

42 x 7 | 294 |

42 x 8 | 336 |

42 x 9 | 378 |

42 x 10 | 420 |

42 x 11 | 462 |

42 x 12 | 504 |

42 x 13 | 546 |

42 x 14 | 588 |

42 x 15 | 630 |

42 x 16 | 672 |

42 x 17 | 714 |

42 x 18 | 756 |

42 x 19 | 798 |

42 x 20 | 840 |

**What are the multiples of 42 up to 1000**

42 | 84 | 126 | 168 | 210 | 252 | 294 | 336 |

378 | 420 | 462 | 504 | 546 | 588 | 630 | 672 |

714 | 756 | 798 | 840 | 882 | 924 | 966 | – |

– | – | – | – | – | – | – | – |

**Difference between Multiples and Factors of 42**

In mathematics multiples and factors are two very different concepts.

Multiples | Factors |

The multiples of 42 are the numbers that are obtained by multiplying 42 with any integer (positive or negative). For example, the first few multiples of 42 are 42, 84, 126, 168, 210, 252, 294, and so on. In other words, multiples of 42 are numbers that can be expressed in form 42n, where n is an integer. | The numbers that divide 42 exactly without leaving any remainder are the factors of 42. The factors of 42 are shown as folows 1, 2, 3, 6, 7, 14, 21, and 42. In other words, these are the numbers that when multiplied together, produce 42 as a result. |

To summarize, factors are numbers that divide a given number exactly, while multiples are numbers that are obtained by multiplying two numbers. It is important to note that 42 is a multiple of itself, and 1 and 42 are factors of 42.

**Solved Examples for Multiples of 42**

**What is the 3rd multiple of 42?**

Solution: The 3rd multiple of 42 can be found by multiplying 42 by 3, which gives us 126.

**What is the 8th multiple of 42?**

Solution: The 8th multiple of 42 can be found by multiplying 42 by 8, which gives us 336.

**Is 588 a multiple of 42?**

Solution: To check whether 588 is a multiple of 42, we need to divide it by 42. If it divides exactly, then it is a multiple of 42. Here, 588/42 = 14, which means that 588 is a multiple of 42.

**Find the first 4 multiples of 42.**

Solution: The first 4 multiples of 42 are: 42, 84, 126, 168.

**If x is a multiple of 42, then what is 3x?**

Solution: If x is a multiple of 42, then it can be expressed as x = 42n, where n is an integer. Multiplying both sides by 3, we get: 3x = 3(42n) = 126n. Therefore, 3x is also a multiple of 42.

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**FAQs on Multiples of 42**

### What are some common multiples of 42 and 56?

The common multiples of 42 and 56 are the numbers that are multiples of both 42 and 56. Some of the common multiples of 42 and 56 are 168, 336, 504, 672, and so on.

### Is 42 a multiple of 7?

Yes, 42 is a multiple of 7. In fact, 42 is the 6th multiple of 7, since 7 x 1 = 7, 7 x 2 = 14, 7 x 3 = 21, 7 x 4 = 28, 7 x 5 = 35, and 7 x 6 = 42.

### What is the smallest positive multiple of 42?

The smallest positive multiple of 42 is 42 itself.

### What is the sum of the first 6 multiples of 42?

To find the sum of the first 6 multiples of 42, we can use the formula for the sum of an arithmetic series: S = n/2 (a + l), where S is the sum, n is the number of terms, a is the first term, and l is the last term. Here, a = 42, l = 252, and n = 6. Plugging in the values, we get: S = 6/2 (42 + 252) = 6 x 147 = 882. Therefore, the sum of the first 6 multiples of 42 is 882.

### Is 105 a multiple of 42?

To check whether 105 is a multiple of 42, we need to divide it by 42. If it divides exactly, then it is a multiple of 42. Here, 105/42 = 2 remainder 21, which means that 105 is not a multiple of 42.

Written by

Prerit Jain