Factors of 1485 in pair are (1, 1485) , (3, 495) , (5, 297) , (9, 165) , (11, 135) , (15, 99) , (27, 55) and (33, 45)

How to find factors of a number in pair

Steps to find factors of 1485 in pair

Example: Find factors of 1485 in pair

Factor Pair Pair Factorization
1 and 1485 1 x 1485 = 1485
3 and 495 3 x 495 = 1485
5 and 297 5 x 297 = 1485
9 and 165 9 x 165 = 1485
11 and 135 11 x 135 = 1485
15 and 99 15 x 99 = 1485
27 and 55 27 x 55 = 1485
33 and 45 33 x 45 = 1485

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 1485. They are called negative pair factors.

Hence, the negative pairs of 1485 would be ( -1 , -1485 ) .

Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 1485 are 1 , 3 , 5 , 9 , 11 , 15 , 27 , 33 , 45 , 55 , 99 , 135 , 165 , 297 , 495 , 1485. So, factors of 1485 in pair are (1,1485), (3,495), (5,297), (9,165), (11,135), (15,99), (27,55), (33,45).

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a 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, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485 are exact divisors of 1485.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 1485 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1485.

Steps to find Factors of 1485

  • Step 1. Find all the numbers that would divide 1485 without leaving any remainder. Starting with the number 1 upto 742 (half of 1485). The number 1 and the number itself are always factors of the given number.
    1485 ÷ 1 : Remainder = 0
    1485 ÷ 3 : Remainder = 0
    1485 ÷ 5 : Remainder = 0
    1485 ÷ 9 : Remainder = 0
    1485 ÷ 11 : Remainder = 0
    1485 ÷ 15 : Remainder = 0
    1485 ÷ 27 : Remainder = 0
    1485 ÷ 33 : Remainder = 0
    1485 ÷ 45 : Remainder = 0
    1485 ÷ 55 : Remainder = 0
    1485 ÷ 99 : Remainder = 0
    1485 ÷ 135 : Remainder = 0
    1485 ÷ 165 : Remainder = 0
    1485 ÷ 297 : Remainder = 0
    1485 ÷ 495 : Remainder = 0
    1485 ÷ 1485 : Remainder = 0

Hence, Factors of 1485 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, and 1485

Frequently Asked Questions

  • Is 1485 a composite number?

    Yes 1485 is a composite number.

  • Is 1485 a perfect square?

    No 1485 is not a perfect square.

  • Write all odd factors of 1485?

    The factors of 1485 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485.
    Odd factors of 1485 are 1 , 3 , 5 , 9 , 11 , 15 , 27 , 33 , 45 , 55 , 99 , 135 , 165 , 297 , 495 , 1485.

  • What is the mean of all prime factors of 1485?

    Factors of 1485 are 1 , 3 , 5 , 9 , 11 , 15 , 27 , 33 , 45 , 55 , 99 , 135 , 165 , 297 , 495 , 1485. Prime factors of 1485 are 3 , 3 , 3 , 5 , 11. Therefore mean of prime factors of 1485 is (3 + 3 + 3 + 5 + 11) / 5 = 5.00.

  • 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 1485 blocks in order to form a rectangle in all possible ways? For arranging 1485 blocks in order to form a rectangle in all possible ways we need to find factors of 1485 in pair.

Factors of 1485 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485. So, factors of 1485 in pair are (1,1485), (3,495), (5,297), (9,165), (11,135), (15,99), (27,55), (33,45).

Ariel has been asked to write all factor pairs of 1485 but she is finding it difficult. Can you help her find out?

Factors of 1485 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485. So, factors of 1485 in pair are (1,1485), (3,495), (5,297), (9,165), (11,135), (15,99), (27,55), (33,45).

What are the pair factors of 1485?

Factors of 1485 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485. Hence, the factors of 1485 in pair are (1,1485), (3,495), (5,297), (9,165), (11,135), (15,99), (27,55), (33,45).

Can you help Sammy list the factors of 1485 and also find the factor pairs?

Factors of 1485 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485.
Factors of 1485 in pair are (1,1485), (3,495), (5,297), (9,165), (11,135), (15,99), (27,55), (33,45).

Help Diji in finding factors of 1485 by Prime Factorization method and then sorting factors of 1485 in pairs.

Prime factorization of 1485 is 3 x 3 x 3 x 5 x 11. Factors of 1485 in pair can be written as (1,1485), (3,495), (5,297), (9,165), (11,135), (15,99), (27,55), (33,45).

Write the smallest prime factor of 1485.

Smallest prime factor of 1485 is 3.

Write the largest prime factor of 1485.

Largest prime factor of 1485 is 11.

Diji wants to write all the negative factors of 1485. Can you help Diji in doing the same?

Negative factors of 1485 are -1, -3, -5, -9, -11, -15, -27, -33, -45, -55, -99, -135, -165, -297, -495, -1485.