# Factors of 154 in pair

Factors of 154 in pair are (1, 154) , (2, 77) , (7, 22) and (11, 14)

#### How to find factors of a number in pair

 1.   Steps to find factors of 154 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 154 in pair

Factor Pair Pair Factorization
1 and 154 1 x 154 = 154
2 and 77 2 x 77 = 154
7 and 22 7 x 22 = 154
11 and 14 11 x 14 = 154

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 154. They are called negative pair factors.

Hence, the negative pairs of 154 would be ( -1 , -154 ) .

#### What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 154 are 1 , 2 , 7 , 11 , 14 , 22 , 77 , 154. So, factors of 154 in pair are (1,154), (2,77), (7,22), (11,14).

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 154 is a factor of itself.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 7, 11, 14, 22, 77, 154 are exact divisors of 154.
• 1 is a factor of every number. Eg. 1 is a factor of 154.
• Every number is a factor of zero (0), since 154 x 0 = 0.

#### Steps to find Factors of 154

• Step 1. Find all the numbers that would divide 154 without leaving any remainder. Starting with the number 1 upto 77 (half of 154). The number 1 and the number itself are always factors of the given number.
154 ÷ 1 : Remainder = 0
154 ÷ 2 : Remainder = 0
154 ÷ 7 : Remainder = 0
154 ÷ 11 : Remainder = 0
154 ÷ 14 : Remainder = 0
154 ÷ 22 : Remainder = 0
154 ÷ 77 : Remainder = 0
154 ÷ 154 : Remainder = 0

Hence, Factors of 154 are 1, 2, 7, 11, 14, 22, 77, and 154

• Is 154 a composite number?

Yes 154 is a composite number.

• Is 154 a prime number?

No 154 is not a prime number.

• Write five multiples of 154.

Five multiples of 154 are 308, 462, 616, 770, 924.

• Write all odd factors of 154?

The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154.
Odd factors of 154 are 1 , 7 , 11 , 77.

• What is the mean of all prime factors of 154?

Factors of 154 are 1 , 2 , 7 , 11 , 14 , 22 , 77 , 154. Prime factors of 154 are 2 , 7 , 11. Therefore mean of prime factors of 154 is (2 + 7 + 11) / 3 = 6.67.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 154 but she is finding it difficult. Can you help her find out?

Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. So, factors of 154 in pair are (1,154), (2,77), (7,22), (11,14).

Sammy wants to write all the negative factors of 154 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 154 are -1, -2, -7, -11, -14, -22, -77, -154. Hence, factors of 154 in pair are (-1,-154), (-2,-77), (-7,-22), (-11,-14).

Help Deep in writing the positive factors of 154 in pair and negative factor of 154 in pair.

Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. Positive factors of 154 in pair are (1,154), (2,77), (7,22), (11,14). Negative factors of 154 in pair are (-1,-154), (-2,-77), (-7,-22), (-11,-14).

Find the product of all prime factors of 154.

Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. Prime factors are 2, 7, 11. So, the product of all prime factors of 154 would be 2 x 7 x 11 = 154.

Can you help Sammy list the factors of 154 and also find the factor pairs?

Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154.
Factors of 154 in pair are (1,154), (2,77), (7,22), (11,14).

Help Diji in finding factors of 154 by Prime Factorization method and then sorting factors of 154 in pairs.

Prime factorization of 154 is 2 x 7 x 11. Factors of 154 in pair can be written as (1,154), (2,77), (7,22), (11,14).

Write the smallest prime factor of 154.

Smallest prime factor of 154 is 2.

Write the largest prime factor of 154.

Largest prime factor of 154 is 11.