Factors of 39 | Pair Factors With Great Explanation
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Factors Of 39
Factors of 39 are the numbers multiplied together to form the result of 39. The fact that 2 and 7 are factors of 14 can be seen by multiplying 2 and 7. For example, 2 × 7= 14 as 2 and 7 are factors of 14. Similarly, we can find the factors of 39.
With this article, you will learn how to find factors of the number 39 and prime factors of 39 with detailed steps.
What are the Factors of 39?
As a composite number, 39 has more than two factors, leaving it with factors other than 1 and 39.
Factors of 39
1, 3, 13, and 39
Smimilarly Factors of 24
1, 2, 3, 4, 6, 8, 12, and 24.
Additionally, we know that 39 is divisible by the factors listed above. The factors of a number can, however, be found in two ways: the division method and the factor pair method.
What are the Factors of -39?
-39 has both additive inverse and negative factors, that is, negative numbers. A positive number is produced by dividing -39 by any negative number.
- (-39) ÷ (-1) = 39
- (-39) ÷ (-3) =13
- (-39) ÷ (-13) = 3
- (-39) ÷ (-39) = 1
Hence, factors of -39 include -1, -3, -13, and -39.
How to Find the Factors of 39?
The following steps explain how to calculate the factors of 39.
Write the number 39 in your notebook first.
Think of 3 and 13 as two numbers that, when multiplied, give 39, for example, 3 x 13 = 39.
The prime number 3 only has two factors, which are 1 and the number itself. Therefore, it cannot be factorized further.
3 = 1 × 3
Furthermore, 13 is a prime number and cannot be further factored in.
13 = 1 × 13
As a result, 39 is factorized into 1 × 3 × 13.
Based on the above computation, there are 3 unique numbers: 1, 3, and 39.
Factor pairs of 39
Every number has positive as well as negative factors. You can find the pair factors of 39 by multiplying the two numbers in a pair. They are as follows:
1 × 39 = 39; (1, 39)
3 × 13 = 39; (3, 13)
13 × 3 = 39; (13, 3)
39 × 1 = 39; (39, 1)
These are the positive pair factors of 39.
Thus, the factors of 39 are 1, 3, 13, and 39.
Next, let’s calculate 39’s negative pair factor:
(-1) × (-39) = 39
(-3) × (-13) = 39
(-13) × (-3) = 39
(-39) × (-1) = 39
As a result, the negative pair factors of 39 are (-1, -39), (-3, -13), (-13, 3) and (-39, -1).
How to calculate Prime Factors of 39?
Here are the prime factors of 39 according to the prime factorization method.
We begin by dividing 39 by the smallest prime number, 2.
39 ÷ 2 = 19.5
Since fractions cannot be factors, hence 2 is not a prime factor for 39.
Continue with the next prime number, i.e. 3, 5, 7, etc.
39 ÷ 3 = 13,
As 3, and 13 are prime numbers, we cannot divide them.
As a result, the prime factorization of 39 is 3 × 13.
Example:
What are the common factors of 24 and 39?
Factors of 24 are,
1, 2, 3, 4, 6, 8, 12, and 24.
Similarly, factors of 39 are,
1, 3, 13, and 39.
Hence, the common factors are 1 and 3.
FAQs
39 and 25 have what factors?
1, 3, 13, and 39 are the factors of 39.
Factors of 75= 1, 3, 5, 15, 25, 75.
What is the greatest factor in 39?
1, 3, 13, and 39 are the factors of 39. Therefore, 39 is the greatest factor 39.
The prime factor of 39 is?
39 has two prime factors, namely 3 and 39.
How many factors are there in 36?
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Among factors 38 and 48, what is common?
Factors of 38: 1, 2, 19, and 38.
1, 2, 3, 4, 6, 8, 12, 16, 24, and 48 are the factors of 48.
1, and 2 are the common factors of 38 and 48.
Conclusion
I hope that with the above illustration you are now in a better position to understand the factors of 39.
Keep learning with ECTI.