Factors of 444
Factors of 444 are numbers that, when multiplied in pairs give the product as 444. There are overall 12 factors of 444, of which 2, 3, 37 are its prime factors. The Prime Factorization of 444 is 22 × 31 × 371.
- All Factors of 444: 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222 and 444
- Prime Factors of 444: 2, 3, 37
- Prime Factorization of 444: 22 × 31 × 371
- Sum of Factors of 444: 1064
1. | What Are the Factors of 444? |
2. | Factors of 444 by Prime Factorization |
3. | Factors of 444 in Pairs |
4. | FAQs on Factors of 444 |
What are Factors of 444?
Factors of 444 are pairs of those numbers whose products result in 444. These factors are either prime numbers or composite numbers.
How to Find the Factors of 444?
To find the factors of 444, we will have to find the list of numbers that would divide 444 without leaving any remainder.
- 444/3 = 148; therefore, 3 is a factor of 444 and 148 is also a factor of 444.
- 444/222 = 2; therefore, 222 is a factor of 444 and 2 is also a factor of 444.
☛ Also Check:
- Factors of 39 - The factors of 39 are 1, 3, 13, 39
- Factors of 27 - The factors of 27 are 1, 3, 9, 27
- Factors of 26 - The factors of 26 are 1, 2, 13, 26
- Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
- Factors of 8 - The factors of 8 are 1, 2, 4, 8
Factors of 444 by Prime Factorization
- 444 ÷ 2 = 222
- 222 ÷ 2 = 111
Further dividing 111 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 111 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 444 can be written as 22 × 31 × 371 where 2, 3, 37 are prime.
Factors of 444 in Pairs
Pair factors of 444 are the pairs of numbers that when multiplied give the product 444. The factors of 444 in pairs are:
- 1 × 444 = (1, 444)
- 2 × 222 = (2, 222)
- 3 × 148 = (3, 148)
- 4 × 111 = (4, 111)
- 6 × 74 = (6, 74)
- 12 × 37 = (12, 37)
Negative pair factors of 444 are:
- -1 × -444 = (-1, -444)
- -2 × -222 = (-2, -222)
- -3 × -148 = (-3, -148)
- -4 × -111 = (-4, -111)
- -6 × -74 = (-6, -74)
- -12 × -37 = (-12, -37)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 444 Solved Examples
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Example 1: How many factors are there for 444?
Solution:
The factors of 444 are too many, therefore if we can find the prime factorization of 444, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).
Prime Factorization of 444 = 22 × 31 × 371
Therefore, the total number of factors are (2 + 1) × (1 + 1) × (1 + 1) = 3 × 2 × 2 = 12 -
Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 444 and 234.
Solution:
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444 and factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234.
Therefore, the Lowest Common Multiple (LCM) of 444 and 234 is 17316 and Highest Common Factor (HCF) of 444 and 234 is 6. -
Example 3: Find if 1, 3, 12, 37, 111, 148 and 332 are factors of 444.
Solution:
When we divide 444 by 332 it leaves a remainder. Therefore, the number 332 is not a factor of 444. All numbers except 332 are factors of 444.
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Example 4: Find the product of all the prime factors of 444.
Solution:
Since, the prime factors of 444 are 2, 3, 37. Therefore, the product of prime factors = 2 × 3 × 37 = 222.
FAQs on Factors of 444
What are the Factors of 444?
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444 and its negative factors are -1, -2, -3, -4, -6, -12, -37, -74, -111, -148, -222, -444.
What is the Sum of Factors of 444?
Sum of all factors of 444 = (22 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (371 + 1 - 1)/(37 - 1) = 1064
What are the Prime Factors of 444?
The prime factors of 444 are 2, 3, 37.
What is the Greatest Common Factor of 444 and 249?
The factors of 444 and 249 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444 and 1, 3, 83, 249 respectively.
Common factors of 444 and 249 are [1, 3].
Hence, the GCF of 444 and 249 is 3.
What are the Common Factors of 444 and 435?
Since, the factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444 and the factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435.
Hence, [1, 3] are the common factors of 444 and 435.
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