Factors of 49
Factors of 49 are numbers that, when multiplied in pairs give the product as 49. It has a total of 3 factors of which 49 is the biggest factor and the positive factors of 49 are 1, 7, and 49. The sum of all factors of 49 is 57. Its Prime Factors are 1, 7, 49, and (1, 49) and (7, 7) are Pair Factors.
- Factors of 49: 1, 7 and 49
- Negative Factors of 49: -1, -7 and -49
- Prime Factors of 49: 7
- Prime Factorization of 49: 7 × 7 = 72
- Sum of Factors of 49: 57
| 1. | What Are the Factors of 49? |
| 2. | How to Calculate the Factors of 49? |
| 3. | Factors of 49 by Prime Factorization |
| 5. | Factors of 49 in Pairs |
| 6. | Important Notes |
| 7. | FAQs on Factors of 49 |
What Are the Factors of 49?
Factors of 49 are numbers which, on dividing 49, leave no remainder. Since 49 is a composite number, it has more than two factors. Factors of 49 = 1, 7, and 49.
How to Calculate the Factors of 49?
- Starting with our idea that any number is divisible by 1 and itself, we have 49 ÷ 1 = 49 and 49 ÷ 49 = 1
- While considering numbers that can divide 49 without remainders, we start with 2 and proceed up to 24 (roughly half of 49), and check for divisibility. We find that 49 ÷ 7 = 7
- Thus we get the factors of 49 as 1, 7, and 49.
Explore factors using illustrations and interactive examples.
- Factors of 69: The factors of 69 are 1, 3, 23, and 69.
- Factors of 33: The factors of 33 are 1, 3, 11, and 33.
- Factors of 72: The factors of 72 are 1, 2, 3, 4, 6, 8, 9 12, 18, 24, 36, and 72.
- Factors of 81: The factors of 81 are 1, 3, 9, 27, and 81.
- Factors of 48: The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, and 48.
Factors of 49 by Prime Factorization
Factors of any number can be found out by the division method and factor tree method.
Division method
- Let us find the prime factors of 49 by division method. Divide the number 49 by the smallest prime number that can completely divide 49 without any remainder. 49 ÷ 7 = 7
- We cannot proceed with the division method. So, the prime factorization of 49 is 7 × 7.
Factor tree
We will do this by factor tree:
Factors of 49 in Pairs
We have only 2 positive and 2 negative factor pairs of 49. They are (1, 49) (-1, -49), (7, 7) (-7, -7).
Important Notes:
- There are only two pair factors of 49.
- 7 is the only prime factor of 49.
FAQs on Factors of 49
What are the Factors of 49?
The factors of 49 are 1, 7, 49 and its negative factors are -1, -7, -49.
What are the Pair Factors of 49?
The pair factors of 49 are (1, 49), (7, 7).
What is the Sum of all the Factors of 49?
All the Factors of 49 are 1, 7, 49 and therefore the sum of all these factors is 1 + 7 + 49 = 57
What is the Greatest Common Factor of 49 and 37?
The factors of 49 are 1, 7, 49 and the factors of 37 are 1, 37. 49 and 37 have only one common factor which is 1. This implies that 49 and 37 are co-prime.
Hence, the Greatest Common Factor (GCF) of 49 and 37 is 1.
How Many Factors of 49 are also common to the Factors of 40?
Since, the factors of 49 are 1, 7, 49 and factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40. Hence, 49 and 40 have only one common factor which is 1. Therefore, 49 and 40 are co-prime.