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Factors of 1201

Factors of 1201 are the list of integers that can be evenly divided into 1201. There are overall 2 factors of 1201 among which 1201 is the biggest factor and its positive factors are 1, 1201. The Prime Factors and Pair Factors of 1201 are 1201 and (1, 1201) respectively.

All Factors of 1201: 1 and 1201
Negative Factors of 1201: -1 and -1201
Prime Factors of 1201: 1201
Prime Factorization of 1201: 1201¹
Sum of Factors of 1201: 1202

1.	What Are the Factors of 1201?
2.	Factors of 1201 by Prime Factorization
3.	Factors of 1201 in Pairs
4.	FAQs on Factors of 1201

What are Factors of 1201?

Factors of 1201 are pairs of those numbers whose products result in 1201. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1201?

To find the factors of 1201, we will have to find the list of numbers that would divide 1201 without leaving any remainder.

1201/1 = 1201; therefore, 1 is a factor of 1201.
1201/1201 = 1; therefore, 1201 is a factor of 1201.

Hence, the factors of 1201 are 1, 1201.

☛ Also Check:

Factors of 34 - The factors of 34 are 1, 2, 17, 34
Factors of 15 - The factors of 15 are 1, 3, 5, 15
Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
Factors of 10 - The factors of 10 are 1, 2, 5, 10

Factors of 1201 by Prime Factorization

The number 1201 is prime and therefore its factors are only the numbers 1 and 1201 itself. Hence, it has only one prime factor that is the number itself, i.e. 1201.

So, the prime factorization of 1201 can be written as 1201¹ where 1201 is prime.

Factors of 1201 in Pairs

Pair factors of 1201 are the pairs of numbers that when multiplied give the product 1201. The factors of 1201 in pairs are:

1 × 1201 = (1, 1201)

Negative pair factors of 1201 are:

-1 × -1201 = (-1, -1201)

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

Factors of 1201 Solved Examples

Example 1: How many factors are there for 1201?

Solution:

The factors of 1201 are 1, 1201. Therefore, 1201 has 2 factors.
Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 1201 and 237.

Solution:

The factors of 1201 are 1, 1201 and factors of 237 are 1, 3, 79, 237.

Therefore, the Least Common Multiple of 1201 and 237 is 284637 and Greatest Common Divisor (GCD) of 1201 and 237 is 1.
Example 3: Find if 1 and 964 are factors of 1201.

Solution:

When we divide 1201 by 964 it leaves a remainder. Therefore, the number 964 is not a factor of 1201. All numbers except 964 are factors of 1201.
Example 4: Find the product of all the factors of 1201.

Solution:

Since, the factors of 1201 are 1, 1201. Therefore, the product of factors = 1 × 1201 = 1201.

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FAQs on Factors of 1201

What are the Factors of 1201?

The factors of 1201 are 1, 1201 and its negative factors are -1, -1201.

What is the Sum of the Factors of 1201?

Factors of 1201 are 1, 1201 and, the sum of all these factors is 1 + 1201 = 1202

What are Pair Factors of 1201?

The pair factors of 1201 are (1, 1201).

What is the Greatest Common Factor of 1201 and 1052?

The factors of 1201 are 1, 1201 and the factors of 1052 are 1, 2, 4, 263, 526, 1052. 1201 and 1052 have only one common factor which is 1. This implies that 1201 and 1052 are co-prime.

Hence, the Greatest Common Factor (GCF) of 1201 and 1052 is 1.

How Many Factors of 1201 are also common to the Factors of 305?

Since, the factors of 1201 are 1, 1201 and factors of 305 are 1, 5, 61, 305. Hence, 1201 and 305 have only one common factor which is 1. Therefore, 1201 and 305 are co-prime.

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