# Factors of 1029 in pair

Factors of 1029 in pair are (1, 1029) , (3, 343) , (7, 147) and (21, 49)

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

 1.   Steps to find factors of 1029 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 1029 in pair

Factor Pair Pair Factorization
1 and 1029 1 x 1029 = 1029
3 and 343 3 x 343 = 1029
7 and 147 7 x 147 = 1029
21 and 49 21 x 49 = 1029

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 1029. They are called negative pair factors.

Hence, the negative pairs of 1029 would be ( -1 , -1029 ) .

#### 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 1029 are 1 , 3 , 7 , 21 , 49 , 147 , 343 , 1029. So, factors of 1029 in pair are (1,1029), (3,343), (7,147), (21,49).

#### 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

• Every factor of a number is an exact divisor of that number, example 1, 3, 7, 21, 49, 147, 343, 1029 are exact divisors of 1029.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 1029 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1029.

#### Steps to find Factors of 1029

• Step 1. Find all the numbers that would divide 1029 without leaving any remainder. Starting with the number 1 upto 514 (half of 1029). The number 1 and the number itself are always factors of the given number.
1029 ÷ 1 : Remainder = 0
1029 ÷ 3 : Remainder = 0
1029 ÷ 7 : Remainder = 0
1029 ÷ 21 : Remainder = 0
1029 ÷ 49 : Remainder = 0
1029 ÷ 147 : Remainder = 0
1029 ÷ 343 : Remainder = 0
1029 ÷ 1029 : Remainder = 0

Hence, Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, and 1029

• Is 1029 a composite number?

Yes 1029 is a composite number.

• Is 1029 a perfect square?

No 1029 is not a perfect square.

• Write all odd factors of 1029?

The factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029.
Odd factors of 1029 are 1 , 3 , 7 , 21 , 49 , 147 , 343 , 1029.

• What is the mean of all prime factors of 1029?

Factors of 1029 are 1 , 3 , 7 , 21 , 49 , 147 , 343 , 1029. Prime factors of 1029 are 3 , 7 , 7 , 7. Therefore mean of prime factors of 1029 is (3 + 7 + 7 + 7) / 4 = 6.00.

• 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.

#### Examples of Factors

Can you help Rubel in arranging 1029 blocks in order to form a rectangle in all possible ways? For arranging 1029 blocks in order to form a rectangle in all possible ways we need to find factors of 1029 in pair.

Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029. So, factors of 1029 in pair are (1,1029), (3,343), (7,147), (21,49).

Ariel has been asked to write all factor pairs of 1029 but she is finding it difficult. Can you help her find out?

Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029. So, factors of 1029 in pair are (1,1029), (3,343), (7,147), (21,49).

What are the pair factors of 1029?

Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029. Hence, the factors of 1029 in pair are (1,1029), (3,343), (7,147), (21,49).

Can you help Sammy list the factors of 1029 and also find the factor pairs?

Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029.
Factors of 1029 in pair are (1,1029), (3,343), (7,147), (21,49).

Help Diji in finding factors of 1029 by Prime Factorization method and then sorting factors of 1029 in pairs.

Prime factorization of 1029 is 3 x 7 x 7 x 7. Factors of 1029 in pair can be written as (1,1029), (3,343), (7,147), (21,49).

Write the smallest prime factor of 1029.

Smallest prime factor of 1029 is 3.

Write the largest prime factor of 1029.

Largest prime factor of 1029 is 7.

Diji wants to write all the negative factors of 1029. Can you help Diji in doing the same?

Negative factors of 1029 are -1, -3, -7, -21, -49, -147, -343, -1029.