# Factors of 157

Factors of 157 are 1 and 157

#### How to find factors of a number

 1.   Find factors of 157 using Division Method 2.   Find factors of 157 using Prime Factorization 3.   Find factors of 157 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 157

• Divide 157 by 1: 157 ÷ 1 : Remainder = 0
• Divide 157 by 157: 157 ÷ 157 : Remainder = 0

Hence, Factors of 157 are 1 and 157

#### 2. Steps to find factors of 157 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 157 using the division method, follow these steps:

• Step 1. Start dividing 157 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 157, which is 157. Divide 157 by 157 to obtain the quotient (1).
157 ÷ 157 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 157 is, 157 = 157.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 157 as shown below:

So, the prime factorization of 157 is, 157 = 157.

#### 3. Find factors of 157 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 157 would be the two numbers which, when multiplied, give 157 as the result.

The following table represents the calculation of factors of 157 in pairs:

Factor Pair Pair Factorization
1 and 157 1 x 157 = 157

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 157. They are called negative pair factors.

Hence, the negative pairs of 157 would be ( -1 , -157 ) , .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 157 are exact divisors of 157.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 157 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 157.

• Is 157 a perfect square?

No 157 is not a perfect square.

• What are factors of 157?

Factors of 157 are 1, 157.

• Which is greatest factor of 157?

The greatest factor of 157 is 1.

• What is the sum of all factors of 157?

The sum of all factors of 157 is 158.

• What are multiples of 157?

First five multiples of 157 are 314, 471, 628, 785.

• What is the greatest prime factors of 157?

The greatest prime factor of 157 is 157.

• What are six multiples of 157?

First five multiples of 157 are 314, 471, 628, 785, 942, 1099.

• What is prime factorization of 157?

Prime factorization of 157 is 157.

• Is 157 a whole number?

Yes 157 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 157? Help her in writing all the factors.

Positive factors are 1, 157.
Negative factors are -1, -157.

Can you help Sammy find out the product of the odd factors of 157?

Factors of 157 are 1, 157.
Odd factors of 157 are 1, 157.
Hence product of odd factors of 157 is; 1 x 157 = 157.

Joey wants to write all the prime factors of 157 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 157 are 157.
So in exponential form it can be written as 157.

How many factors are there for 157?

Factors of 157 are 1, 157.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 157. Can you predict the answer?

1 factor(s) of 157 is 1.

Sammy is puzzled while calculating the prime factors of 157. Can you help him find them?

Factors of 157 are 1, 157.
Prime factors of 157 are 157

What is prime factorization of 157?

Prime factorization of 157 is 157 = 157.