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Factors of 841

Factors of 841 are the list of integers that we can split evenly into 841. There are overall 3 factors of 841 among which 841 is the biggest factor and 1, 29, 841 are positive factors. The sum of all factors of 841 is 871 and its factors in Pairs are (1, 841), (29, 29).

All Factors of 841: 1, 29 and 841
Negative Factors of 841: -1, -29 and -841
Prime Factors of 841: 29
Prime Factorization of 841: 29²
Sum of Factors of 841: 871

1.	What Are the Factors of 841?
2.	Factors of 841 by Prime Factorization
3.	Factors of 841 in Pairs
4.	FAQs on Factors of 841

What are Factors of 841?

Factors of 841 are pairs of those numbers whose products result in 841. These factors are either prime numbers or composite numbers.

How to Find the Factors of 841?

To find the factors of 841, we will have to find the list of numbers that would divide 841 without leaving any remainder.

841/29 = 29; therefore, 29 is a factor of 841.
841/841 = 1; therefore, 841 is a factor of 841 and 1 is also a factor of 841.

Similarly we can find other factors. Hence, the factors of 841 are 1, 29, 841.

☛ Also Check:

Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52
Factors of 4 - The factors of 4 are 1, 2, 4
Factors of 21 - The factors of 21 are 1, 3, 7, 21
Factors of 91 - The factors of 91 are 1, 7, 13, 91

Factors of 841 by Prime Factorization

The number 841 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 841. The first step is to divide the number 841 with the smallest prime factor, here it is 29. We keep dividing until it gives a non-zero remainder.

841 ÷ 29 = 29
29 ÷ 29 = 1

Further dividing 1 by 29 gives a non-zero remainder. So we stop the process and continue dividing the number 1 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.

Since, we can't divide any further in this case so we stop.

So, the prime factorization of 841 is 29².

Factors of 841 in Pairs

Pair factors of 841 are the pairs of numbers that when multiplied give the product 841. The factors of 841 in pairs are:

1 × 841 = (1, 841)
29 × 29 = (29, 29)

Negative pair factors of 841 are:

-1 × -841 = (-1, -841)
-29 × -29 = (-29, -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 841 Solved Examples

Example 1: How many factors are there for 841?

Solution:

The factors of 841 are 1, 29, 841. Therefore, 841 has 3 factors.
Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 841 and 90.

Solution:

The factors of 841 are 1, 29, 841 and factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

Therefore, the Lowest Common Multiple (LCM) of 841 and 90 is 75690 and Highest Common Factor (HCF) of 841 and 90 is 1.
Example 3: Find if 29 and 641 are factors of 841.

Solution:

When we divide 841 by 641 it leaves a remainder. Therefore, the number 641 is not a factor of 841. All numbers except 641 are factors of 841.
Example 4: Find the product of all the prime factors of 841.

Solution:

Since, the prime factor of 841 is 29. Therefore, the product of prime factors = 29.

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FAQs on Factors of 841

What are the Factors of 841?

The factors of 841 are 1, 29, 841 and its negative factors are -1, -29, -841.

What is the Sum of Factors of 841?

Since, all factors of 841 are 1, 29, 841 therefore, the sum of its factors is 1 + 29 + 841 = 871.

What are the Prime Factors of 841?

The prime factor of 841 is 29.

What is the Greatest Common Factor of 841 and 108?

The factors of 841 are 1, 29, 841 and the factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108. 841 and 108 have only one common factor which is 1. This implies that 841 and 108 are co-prime.

Hence, the Greatest Common Factor (GCF) of 841 and 108 is 1.

How Many Factors of 841 are also Factors of 720?

Since, the factors of 841 are 1, 29, 841 and factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720. Hence, 841 and 720 have only one common factor which is 1. Therefore, 841 and 720 are co-prime.

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