# Factors of 401

Factors of 401 are 1 and 401

#### How to find factors of a number

 1.   Find factors of 401 using Division Method 2.   Find factors of 401 using Prime Factorization 3.   Find factors of 401 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 401

• Divide 401 by 1: 401 ÷ 1 : Remainder = 0
• Divide 401 by 401: 401 ÷ 401 : Remainder = 0

Hence, Factors of 401 are 1 and 401

#### 2. Steps to find factors of 401 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 401 using the division method, follow these steps:

• Step 1. Start dividing 401 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 401, which is 401. Divide 401 by 401 to obtain the quotient (1).
401 ÷ 401 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 401 is, 401 = 401.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 401 as shown below:

So, the prime factorization of 401 is, 401 = 401.

#### 3. Find factors of 401 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 401 would be the two numbers which, when multiplied, give 401 as the result.

The following table represents the calculation of factors of 401 in pairs:

Factor Pair Pair Factorization
1 and 401 1 x 401 = 401

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 401. They are called negative pair factors.

Hence, the negative pairs of 401 would be ( -1 , -401 ) , .

#### How can we define factors?

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.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 401 are exact divisors of 401.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 401 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 401.

• What are the pair factors of 401?

Pair factors of 401 are (1,401).

• What are five multiples of 401?

First five multiples of 401 are 802, 1203, 1604, 2005, 2406.

• What two numbers make 401?

Two numbers that make 401 are 401 and 1.

• What is the sum of all factors of 401?

The sum of all factors of 401 is 402.

• What are factors of -401?

Factors of -401 are -1, -401.

• What are factors of 401?

Factors of 401 are 1, 401.

• Is 401 a perfect square?

No 401 is not a perfect square.

• Which is the smallest prime factor of 401?

Smallest prime factor of 401 is 401.

• Which is greatest factor of 401?

The greatest factor of 401 is 1.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 401?

Factors of 401 are 1, 401.
Odd factors of 401 are 1, 401.
Hence product of odd factors of 401 is; 1 x 401 = 401.

Joey wants to write all the prime factors of 401 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 401 are 401.
So in exponential form it can be written as 401.

How many factors are there for 401?

Factors of 401 are 1, 401.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 401. Can you predict the answer?

1 factor(s) of 401 is 1.

Sammy is puzzled while calculating the prime factors of 401. Can you help him find them?

Factors of 401 are 1, 401.
Prime factors of 401 are 401

What is prime factorization of 401?

Prime factorization of 401 is 401 = 401.

Can you help Rubel to find out the product of the even factors of 401?

Factors of 401 are 1, 401.
Even factors of 401 are 0.
Hence, product of even factors of 401 is; 0 = 0.