The number 42 is an integer that has several interesting mathematical properties and factors. Factors of a number are the whole numbers that divide evenly into that number without leaving a remainder. Let’s explore the factors of 42:
- 1 and 42: The number 1 and 42 are always factors of 42 because they divide 42 evenly.
- 2 and 21: Both 2 and 21 are factors of 42. When divided by 2, 42 gives the quotient 21 without a remainder.
- 3 and 14: Similarly, 3 and 14 are factors of 42. Dividing 42 by 3 yields 14.
- 6 and 7: Another pair of factors for 42 are 6 and 7. When divided by 6, 42 gives the quotient 7 without a remainder.
So, the factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.
In addition to these factors, it’s worth noting that 42 is also divisible by other numbers, such as 4 and 28, but these are not considered distinct factors since they are multiples of the factors already mentioned.
The number 42 holds significance in various contexts, including popular culture references like “The Hitchhiker’s Guide to the Galaxy,” where it is humorously portrayed as the “Answer to the Ultimate Question of Life, the Universe, and Everything.”
Factors of definition 42
I apologize for any confusion, but I’m not sure what you mean by “definition 42.” The number 42 itself does not have a specific definition. It is simply an integer. However, as mentioned in the previous response, 42 has factors such as 1, 2, 3, 6, 7, 14, 21, and 42. If you have a different context or specific definition in mind, please provide more information so I can assist you better.
How many Factors of 42
To determine the number of factors of a given number, we can count how many distinct factors it has.
The number 42 has the following factors: 1, 2, 3, 6, 7, 14, 21, and 42.
Therefore, there are 8 factors of 42.
Factor Pairs of 42
Factor pairs of a number are pairs of factors that, when multiplied together, give the original number. For the number 42, the factor pairs are as follows:
1 x 42 = 42
2 x 21 = 42
3 x 14 = 42
6 x 7 = 42
So, the factor pairs of 42 are (1, 42), (2, 21), (3, 14), and (6, 7).
All Factors of 42 using Multiplication
To find all the factors of 42 using multiplication, we can start by dividing 42 by smaller numbers and finding their corresponding factors. Here are all the factors of 42:
1 x 42 = 42
2 x 21 = 42
3 x 14 = 42
6 x 7 = 42
So, the factors of 42, expressed as multiplication pairs, are (1, 42), (2, 21), (3, 14), and (6, 7).
