Factors of 1755 in pair are (1, 1755) , (3, 585) , (5, 351) , (9, 195) , (13, 135) , (15, 117) , (27, 65) and (39, 45)

How to find factors of a number in pair

Steps to find factors of 1755 in pair

Example: Find factors of 1755 in pair

Factor Pair Pair Factorization
1 and 1755 1 x 1755 = 1755
3 and 585 3 x 585 = 1755
5 and 351 5 x 351 = 1755
9 and 195 9 x 195 = 1755
13 and 135 13 x 135 = 1755
15 and 117 15 x 117 = 1755
27 and 65 27 x 65 = 1755
39 and 45 39 x 45 = 1755

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 1755. They are called negative pair factors.

Hence, the negative pairs of 1755 would be ( -1 , -1755 ) .

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 1755 are 1 , 3 , 5 , 9 , 13 , 15 , 27 , 39 , 45 , 65 , 117 , 135 , 195 , 351 , 585 , 1755. So, factors of 1755 in pair are (1,1755), (3,585), (5,351), (9,195), (13,135), (15,117), (27,65), (39,45).

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 number is a factor of zero (0), since 1755 x 0 = 0.
  • 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, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755 are exact divisors of 1755.
  • Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755. Each factor divides 1755 without leaving a remainder.

Steps to find Factors of 1755

  • Step 1. Find all the numbers that would divide 1755 without leaving any remainder. Starting with the number 1 upto 877 (half of 1755). The number 1 and the number itself are always factors of the given number.
    1755 ÷ 1 : Remainder = 0
    1755 ÷ 3 : Remainder = 0
    1755 ÷ 5 : Remainder = 0
    1755 ÷ 9 : Remainder = 0
    1755 ÷ 13 : Remainder = 0
    1755 ÷ 15 : Remainder = 0
    1755 ÷ 27 : Remainder = 0
    1755 ÷ 39 : Remainder = 0
    1755 ÷ 45 : Remainder = 0
    1755 ÷ 65 : Remainder = 0
    1755 ÷ 117 : Remainder = 0
    1755 ÷ 135 : Remainder = 0
    1755 ÷ 195 : Remainder = 0
    1755 ÷ 351 : Remainder = 0
    1755 ÷ 585 : Remainder = 0
    1755 ÷ 1755 : Remainder = 0

Hence, Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, and 1755

Frequently Asked Questions

  • Is 1755 a composite number?

    Yes 1755 is a composite number.

  • Is 1755 a perfect square?

    No 1755 is not a perfect square.

  • Write all odd factors of 1755?

    The factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755.
    Odd factors of 1755 are 1 , 3 , 5 , 9 , 13 , 15 , 27 , 39 , 45 , 65 , 117 , 135 , 195 , 351 , 585 , 1755.

  • What is the mean of all prime factors of 1755?

    Factors of 1755 are 1 , 3 , 5 , 9 , 13 , 15 , 27 , 39 , 45 , 65 , 117 , 135 , 195 , 351 , 585 , 1755. Prime factors of 1755 are 3 , 3 , 3 , 5 , 13. Therefore mean of prime factors of 1755 is (3 + 3 + 3 + 5 + 13) / 5 = 5.40.

  • 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 1755 blocks in order to form a rectangle in all possible ways? For arranging 1755 blocks in order to form a rectangle in all possible ways we need to find factors of 1755 in pair.

Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755. So, factors of 1755 in pair are (1,1755), (3,585), (5,351), (9,195), (13,135), (15,117), (27,65), (39,45).

Ariel has been asked to write all factor pairs of 1755 but she is finding it difficult. Can you help her find out?

Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755. So, factors of 1755 in pair are (1,1755), (3,585), (5,351), (9,195), (13,135), (15,117), (27,65), (39,45).

How many total number of factors of 1755 in pair are possible?

Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755. Hence, the factors of 1755 in pair are (1,1755), (3,585), (5,351), (9,195), (13,135), (15,117), (27,65), (39,45). Therefore, in total 8 pairs of factors are possible.

Sammy wants to write all the negative factors of 1755 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1755 are -1, -3, -5, -9, -13, -15, -27, -39, -45, -65, -117, -135, -195, -351, -585, -1755. Hence, factors of 1755 in pair are (-1,-1755), (-3,-585), (-5,-351), (-9,-195), (-13,-135), (-15,-117), (-27,-65), (-39,-45).

Help Deep in writing the positive factors of 1755 in pair and negative factor of 1755 in pair.

Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755. Positive factors of 1755 in pair are (1,1755), (3,585), (5,351), (9,195), (13,135), (15,117), (27,65), (39,45). Negative factors of 1755 in pair are (-1,-1755), (-3,-585), (-5,-351), (-9,-195), (-13,-135), (-15,-117), (-27,-65), (-39,-45).

Find the product of all factors of 1755.

Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755. So the product of all factors of 1755 would be 1 x 3 x 5 x 9 x 13 x 15 x 27 x 39 x 45 x 65 x 117 x 135 x 195 x 351 x 585 x 1755 = 8.999470680677419e+25.

Find the product of all prime factors of 1755.

Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755. Prime factors are 3, 3, 3, 5, 13. So, the product of all prime factors of 1755 would be 3 x 3 x 3 x 5 x 13 = 1755.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 1755.
- Writing all prime factors of 1755.
- Writing all the possible factors of 1755 in pair.
Help him in writing all these.

Positive factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755.
Prime factors of 1755 are 3, 3, 3, 5, 13.
Factors of 1755 in pair are (1,1755), (3,585), (5,351), (9,195), (13,135), (15,117), (27,65), (39,45).