Factors of 2401 are the list of integers that we can split evenly into 2401. There are overall 5 factors of 2401 among which 2401 is the biggest factor and its positive factors are 1, 7, 49, 343, 2401. The Prime Factors of 2401 are 7 and its Factors in Pairs are (1, 2401), (7, 343), (49, 49).

• All Factors of 2401: 1, 7, 49, 343 and 2401
• Negative Factors of 2401: -1, -7, -49, -343 and -2401
• Prime Factors of 2401: 7
• Prime Factorization of 2401: 7⁴
• Sum of Factors of 2401: 2801

1.	What Are the Factors of 2401?
2.	Factors of 2401 by Prime Factorization
3.	Factors of 2401 in Pairs
4.	FAQs on Factors of 2401

Factors of 2401 are pairs of those numbers whose products result in 2401. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2401?

To find the factors of 2401, we will have to find the list of numbers that would divide 2401 without leaving any remainder.

• 2401/49 = 49; therefore, 49 is a factor of 2401.
• 2401/7 = 343; therefore, 7 is a factor of 2401 and 343 is also a factor of 2401.

Similarly we can find other factors. Hence, the factors of 2401 are 1, 7, 49, 343, 2401.

☛ Also Check:

• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 37 - The factors of 37 are 1, 37
• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63
• Factors of 27 - The factors of 27 are 1, 3, 9, 27

The number 2401 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2401. The first step is to divide the number 2401 with the smallest prime factor, here it is 7. We keep dividing until it gives a non-zero remainder.

• 2401 ÷ 7 = 343
• 343 ÷ 7 = 49
• 49 ÷ 7 = 7
• 7 ÷ 7 = 1

Further dividing 1 by 7 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 2401 is 7⁴.

Pair factors of 2401 are the pairs of numbers that when multiplied give the product 2401. The factors of 2401 in pairs are:

• 1 × 2401 = (1, 2401)
• 7 × 343 = (7, 343)
• 49 × 49 = (49, 49)

Negative pair factors of 2401 are:

• -1 × -2401 = (-1, -2401)
• -7 × -343 = (-7, -343)
• -49 × -49 = (-49, -49)

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