Which one is a factor of 437?
options=
21
17
23
Answers
Answer:
The factors of 437 are 1, 19, 23, 437.
☛What are Factors of 437?
Factors of 437 are pairs of those numbers whose products result in 437. These factors are either prime numbers or composite numbers.
☛How to Find the Factors of 437?
To find the factors of 437, we will have to find the list of numbers that would divide 437 without leaving any remainder.
437/23 = 19; therefore, 23 is a factor of 437 and 19 is also a factor of 437.
437/437 = 1; therefore, 437 is a factor of 437 and 1 is also a factor of 437.
Similarly we can find other factors. Hence, the factors of 437 are 1, 19, 23, 437.
☛ Also Check:
Factors of 49 - The factors of 49 are 1, 7, 49
Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Factors of 38 - The factors of 38 are 1, 2, 19, 38
Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
Factors of 31 - The factors of 31 are 1, 31
Factors of 437 by Prime Factorization
The number 437 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 437. The first step is to divide the number 437 with the smallest prime factor, here it is 19. We keep dividing until it gives a non-zero remainder.
437 ÷ 19 = 23
Further dividing 23 by 19 gives a non-zero remainder. So we stop the process and continue dividing the number 23 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
So, the prime factorization of 437 can be written as 191 × 231 where 19, 23 are prime.
☛Factors of 437 in Pairs
Pair factors of 437 are the pairs of numbers that when multiplied give the product 437. The factors of 437 in pairs are:
1 × 437 = (1, 437)
19 × 23 = (19, 23)
Negative pair factors of 437 are:
-1 × -437 = (-1, -437)
-19 × -23 = (-19, -23)
☛NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
☛Solution:
The factors of 437 are 1, 19, 23, 437. Therefore, 437 has 4 factors.