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Factors of 493

Factors of 493 are numbers that, when multiplied in pairs give the product as 493. It has a total of 4 factors of which 493 is the biggest factor and the positive factors of 493 are 1, 17, 29, 493. The Prime Factors and Pair Factors of 493 are 17 × 29 and (1, 493), (17, 29) respectively.

All Factors of 493: 1, 17, 29 and 493
Negative Factors of 493: -1, -17, -29 and -493
Prime Factors of 493: 17, 29
Prime Factorization of 493: 17¹ × 29¹
Sum of Factors of 493: 540

1.	What Are the Factors of 493?
2.	Factors of 493 by Prime Factorization
3.	Factors of 493 in Pairs
4.	FAQs on Factors of 493

What are Factors of 493?

Factors of 493 are pairs of those numbers whose products result in 493. These factors are either prime numbers or composite numbers.

How to Find the Factors of 493?

To find the factors of 493, we will have to find the list of numbers that would divide 493 without leaving any remainder.

493/29 = 17; therefore, 29 is a factor of 493 and 17 is also a factor of 493.
493/1 = 493; therefore, 1 is a factor of 493 and 493 is also a factor of 493.

Similarly we can find other factors. Hence, the factors of 493 are 1, 17, 29, 493.

☛ Also Check:

Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 121 - The factors of 121 are 1, 11, 121
Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
Factors of 5 - The factors of 5 are 1, 5

Factors of 493 by Prime Factorization

The number 493 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 493. The first step is to divide the number 493 with the smallest prime factor, here it is 17. We keep dividing until it gives a non-zero remainder.

493 ÷ 17 = 29

Further dividing 29 by 17 gives a non-zero remainder. So we stop the process and continue dividing the number 29 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 493 can be written as 17¹ × 29¹ where 17, 29 are prime.

Factors of 493 in Pairs

Pair factors of 493 are the pairs of numbers that when multiplied give the product 493. The factors of 493 in pairs are:

1 × 493 = (1, 493)
17 × 29 = (17, 29)

Negative pair factors of 493 are:

-1 × -493 = (-1, -493)
-17 × -29 = (-17, -29)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.

Factors of 493 Solved Examples

Example 1: How many factors are there for 493?

Solution:

The factors of 493 are 1, 17, 29, 493. Therefore, 493 has 4 factors.
Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 493 and 281.

Solution:

The factors of 493 are 1, 17, 29, 493 and factors of 281 are 1, 281.

Therefore, the Lowest Common Multiple (LCM) of 493 and 281 is 138533 and Highest Common Factor (HCF) of 493 and 281 is 1.
Example 3: Find if 1, 347 and 493 are factors of 493.

Solution:

When we divide 493 by 347 it leaves a remainder. Therefore, the number 347 is not a factor of 493. All numbers except 347 are factors of 493.
Example 4: Find the product of all the prime factors of 493.

Solution:

Since, the prime factors of 493 are 17, 29. Therefore, the product of prime factors = 17 × 29 = 493.

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FAQs on Factors of 493

What are the Factors of 493?

The factors of 493 are 1, 17, 29, 493 and its negative factors are -1, -17, -29, -493.

What is the Sum of the Factors of 493?

Factors of 493 are 1, 17, 29, 493 and, the sum of all these factors is 1 + 17 + 29 + 493 = 540

What are Pair Factors of 493?

The pair factors of 493 are (1, 493), (17, 29).

What is the Greatest Common Factor of 493 and 367?

The factors of 493 are 1, 17, 29, 493 and the factors of 367 are 1, 367. 493 and 367 have only one common factor which is 1. This implies that 493 and 367 are co-prime.

Hence, the Greatest Common Factor (GCF) of 493 and 367 is 1.

How Many Factors of 493 are also common to the Factors of 267?

Since, the factors of 493 are 1, 17, 29, 493 and factors of 267 are 1, 3, 89, 267. Hence, 493 and 267 have only one common factor which is 1. Therefore, 493 and 267 are co-prime.

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