Factors of 2401 in pair are (1, 2401) , (7, 343) and (49, 49)

- Find all the numbers that would divide 2401 without leaving any remainder. Starting with the number 1 upto 1200 (half of 2401). The number 1 and the number itself are always factors of the given number.
- Pair the factors so that their product is 2401, and read off the answer!

Factor Pair | Pair Factorization |
---|---|

1 and 2401 | 1 x 2401 = 2401 |

7 and 343 | 7 x 343 = 2401 |

49 and 49 | 49 x 49 = 2401 |

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 2401. They are called negative pair factors.

Hence, the negative pairs of 2401 would be ( -1 , -2401 ) .

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 2401 are 1 , 7 , 49 , 343 , 2401. So, factors of 2401 in pair are (1,2401), (7,343), (49,49).

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

- Every factor of a number is an exact divisor of that number, example 1, 7, 49, 343, 2401 are exact divisors of 2401.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Each number is a factor of itself. Eg. 2401 is a factor of itself.
- 1 is a factor of every number. Eg. 1 is a factor of 2401.

**Step 1.**Find all the numbers that would divide 2401 without leaving any remainder. Starting with the number 1 upto 1200 (half of 2401). The number 1 and the number itself are always factors of the given number.2401 ÷ 1 : Remainder = 02401 ÷ 7 : Remainder = 02401 ÷ 49 : Remainder = 02401 ÷ 343 : Remainder = 02401 ÷ 2401 : Remainder = 0

Hence, Factors of
*2401* are **1, 7, 49, 343, and 2401**

**Is there any even prime factor of 2401?**No there is no even prime factor, i.e. 2, of 2401.

**What is the mean of all prime factors of 2401?**Factors of 2401 are 1 , 7 , 49 , 343 , 2401. Prime factors of 2401 are 7 , 7 , 7 , 7. Therefore mean of prime factors of 2401 is (7 + 7 + 7 + 7) / 4 = 7.00.

**What is the mean of factors of 2401?**Factors of 2401 are 1 , 7 , 49 , 343 , 2401. therefore mean of factors of 2401 is (1 + 7 + 49 + 343 + 2401) / 5 = 560.20.

**What do you mean by proper divisors?**A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

**What do you mean by improper divisors?**An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Factors of 2401 are 1, 7, 49, 343, 2401. So, factors of 2401 in pair are (1,2401), (7,343), (49,49).

Factors of 2401 are 1, 7, 49, 343, 2401. Hence, the factors of 2401 in pair are (1,2401), (7,343), (49,49). Therefore, in total 3 pairs of factors are possible.

Negative factors of 2401 are -1, -7, -49, -343, -2401. Hence, factors of 2401 in pair are (-1,-2401), (-7,-343), (-49,-49).

Factors of 2401 are 1, 7, 49, 343, 2401. Prime factors are 7, 7, 7, 7. So, the product of all prime factors of 2401 would be 7 x 7 x 7 x 7 = 2401.

- Finding out all positive factors of 2401.

- Writing all prime factors of 2401.

- Writing all the possible factors of 2401 in pair.

Help him in writing all these.

Positive factors of 2401 are 1, 7, 49, 343, 2401.

Prime factors of 2401 are 7, 7, 7, 7.

Factors of 2401 in pair are (1,2401), (7,343), (49,49).

Factors of 2401 are 1, 7, 49, 343, 2401.

Factors of 2401 in pair are (1,2401), (7,343), (49,49).

Prime factorization of 2401 is 7 x 7 x 7 x 7. Factors of 2401 in pair can be written as (1,2401), (7,343), (49,49).

Smallest prime factor of 2401 is 7.