Factors of 741
Factors of 741 are the list of integers that we can split evenly into 741. It has a total of 8 factors of which 741 is the biggest factor and the positive factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741. The sum of all factors of 741 is 1120. Its Prime Factors are 3 × 13 × 19 and (1, 741), (3, 247), (13, 57), (19, 39) are Pair Factors.
- All Factors of 741: 1, 3, 13, 19, 39, 57, 247 and 741
- Negative Factors of 741: -1, -3, -13, -19, -39, -57, -247 and -741
- Prime Factors of 741: 3, 13, 19
- Prime Factorization of 741: 31 × 131 × 191
- Sum of Factors of 741: 1120
1. | What Are the Factors of 741? |
2. | Factors of 741 by Prime Factorization |
3. | Factors of 741 in Pairs |
4. | FAQs on Factors of 741 |
What are Factors of 741?
Factors of 741 are pairs of those numbers whose products result in 741. These factors are either prime numbers or composite numbers.
How to Find the Factors of 741?
To find the factors of 741, we will have to find the list of numbers that would divide 741 without leaving any remainder.
- 741/1 = 741; therefore, 1 is a factor of 741.
- 741/57 = 13; therefore, 57 is a factor of 741.
☛ Also Check:
- Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
- Factors of 14 - The factors of 14 are 1, 2, 7, 14
- Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
- Factors of 21 - The factors of 21 are 1, 3, 7, 21
- Factors of 22 - The factors of 22 are 1, 2, 11, 22
Factors of 741 by Prime Factorization
- 741 ÷ 3 = 247
Further dividing 247 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 247 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 741 can be written as 31 × 131 × 191 where 3, 13, 19 are prime.
Factors of 741 in Pairs
Pair factors of 741 are the pairs of numbers that when multiplied give the product 741. The factors of 741 in pairs are:
- 1 × 741 = (1, 741)
- 3 × 247 = (3, 247)
- 13 × 57 = (13, 57)
- 19 × 39 = (19, 39)
Negative pair factors of 741 are:
- -1 × -741 = (-1, -741)
- -3 × -247 = (-3, -247)
- -13 × -57 = (-13, -57)
- -19 × -39 = (-19, -39)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 741 Solved Examples
-
Example 1: How many factors are there for 741?
Solution:
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741. Therefore, 741 has 8 factors.
-
Example 2: Find the Least Common Multiple and Highest Common Factor (HCF) of 741 and 694.
Solution:
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741 and factors of 694 are 1, 2, 347, 694.
Therefore, the Least Common Multiple of 741 and 694 is 514254 and Highest Common Factor (HCF) of 741 and 694 is 1. -
Example 3: Find if 1, 3, 19, 57 and 563 are factors of 741.
Solution:
When we divide 741 by 563 it leaves a remainder. Therefore, the number 563 is not a factor of 741. All numbers except 563 are factors of 741.
-
Example 4: Find the product of all the prime factors of 741.
Solution:
Since, the prime factors of 741 are 3, 13, 19. Therefore, the product of prime factors = 3 × 13 × 19 = 741.
FAQs on Factors of 741
What are the Factors of 741?
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741 and its negative factors are -1, -3, -13, -19, -39, -57, -247, -741.
What is the Sum of all Factors of 741?
Sum of all factors of 741 = (31 + 1 - 1)/(3 - 1) × (131 + 1 - 1)/(13 - 1) × (191 + 1 - 1)/(19 - 1) = 1120
What are the Pair Factors of 741?
The pair factors of 741 are (1, 741), (3, 247), (13, 57), (19, 39).
What is the Greatest Common Factor of 741 and 432?
The factors of 741 and 432 are 1, 3, 13, 19, 39, 57, 247, 741 and 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432 respectively.
Common factors of 741 and 432 are [1, 3].
Hence, the Greatest Common Factor (GCF) of 741 and 432 is 3.
How Many Factors of 741 are also common to the Factors of 604?
Since, the factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741 and factors of 604 are 1, 2, 4, 151, 302, 604. Hence, 741 and 604 have only one common factor which is 1. Therefore, 741 and 604 are co-prime.
visual curriculum