Factors of 5145 in pair are (1, 5145) , (3, 1715) , (5, 1029) , (7, 735) , (15, 343) , (21, 245) , (35, 147) and (49, 105)

How to find factors of a number in pair

Steps to find factors of 5145 in pair

Example: Find factors of 5145 in pair

Factor Pair Pair Factorization
1 and 5145 1 x 5145 = 5145
3 and 1715 3 x 1715 = 5145
5 and 1029 5 x 1029 = 5145
7 and 735 7 x 735 = 5145
15 and 343 15 x 343 = 5145
21 and 245 21 x 245 = 5145
35 and 147 35 x 147 = 5145
49 and 105 49 x 105 = 5145

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 5145. They are called negative pair factors.

Hence, the negative pairs of 5145 would be ( -1 , -5145 ) .

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 5145 are 1 , 3 , 5 , 7 , 15 , 21 , 35 , 49 , 105 , 147 , 245 , 343 , 735 , 1029 , 1715 , 5145. So, factors of 5145 in pair are (1,5145), (3,1715), (5,1029), (7,735), (15,343), (21,245), (35,147), (49,105).

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, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145 are exact divisors of 5145.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 5145 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 5145.

Steps to find Factors of 5145

  • Step 1. Find all the numbers that would divide 5145 without leaving any remainder. Starting with the number 1 upto 2572 (half of 5145). The number 1 and the number itself are always factors of the given number.
    5145 ÷ 1 : Remainder = 0
    5145 ÷ 3 : Remainder = 0
    5145 ÷ 5 : Remainder = 0
    5145 ÷ 7 : Remainder = 0
    5145 ÷ 15 : Remainder = 0
    5145 ÷ 21 : Remainder = 0
    5145 ÷ 35 : Remainder = 0
    5145 ÷ 49 : Remainder = 0
    5145 ÷ 105 : Remainder = 0
    5145 ÷ 147 : Remainder = 0
    5145 ÷ 245 : Remainder = 0
    5145 ÷ 343 : Remainder = 0
    5145 ÷ 735 : Remainder = 0
    5145 ÷ 1029 : Remainder = 0
    5145 ÷ 1715 : Remainder = 0
    5145 ÷ 5145 : Remainder = 0

Hence, Factors of 5145 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, and 5145

Frequently Asked Questions

  • Is 5145 a composite number?

    Yes 5145 is a composite number.

  • Is 5145 a perfect square?

    No 5145 is not a perfect square.

  • Write all odd factors of 5145?

    The factors of 5145 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145.
    Odd factors of 5145 are 1 , 3 , 5 , 7 , 15 , 21 , 35 , 49 , 105 , 147 , 245 , 343 , 735 , 1029 , 1715 , 5145.

  • What is the mean of all prime factors of 5145?

    Factors of 5145 are 1 , 3 , 5 , 7 , 15 , 21 , 35 , 49 , 105 , 147 , 245 , 343 , 735 , 1029 , 1715 , 5145. Prime factors of 5145 are 3 , 5 , 7 , 7 , 7. Therefore mean of prime factors of 5145 is (3 + 5 + 7 + 7 + 7) / 5 = 5.80.

  • 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 5145 blocks in order to form a rectangle in all possible ways? For arranging 5145 blocks in order to form a rectangle in all possible ways we need to find factors of 5145 in pair.

Factors of 5145 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145. So, factors of 5145 in pair are (1,5145), (3,1715), (5,1029), (7,735), (15,343), (21,245), (35,147), (49,105).

How many total number of factors of 5145 in pair are possible?

Factors of 5145 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145. Hence, the factors of 5145 in pair are (1,5145), (3,1715), (5,1029), (7,735), (15,343), (21,245), (35,147), (49,105). Therefore, in total 8 pairs of factors are possible.

Sammy wants to write all the negative factors of 5145 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 5145 are -1, -3, -5, -7, -15, -21, -35, -49, -105, -147, -245, -343, -735, -1029, -1715, -5145. Hence, factors of 5145 in pair are (-1,-5145), (-3,-1715), (-5,-1029), (-7,-735), (-15,-343), (-21,-245), (-35,-147), (-49,-105).

Find the product of all prime factors of 5145.

Factors of 5145 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145. Prime factors are 3, 5, 7, 7, 7. So, the product of all prime factors of 5145 would be 3 x 5 x 7 x 7 x 7 = 5145.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 5145.
- Writing all prime factors of 5145.
- Writing all the possible factors of 5145 in pair.
Help him in writing all these.

Positive factors of 5145 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145.
Prime factors of 5145 are 3, 5, 7, 7, 7.
Factors of 5145 in pair are (1,5145), (3,1715), (5,1029), (7,735), (15,343), (21,245), (35,147), (49,105).

Can you help Sammy list the factors of 5145 and also find the factor pairs?

Factors of 5145 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145.
Factors of 5145 in pair are (1,5145), (3,1715), (5,1029), (7,735), (15,343), (21,245), (35,147), (49,105).

Help Diji in finding factors of 5145 by Prime Factorization method and then sorting factors of 5145 in pairs.

Prime factorization of 5145 is 3 x 5 x 7 x 7 x 7. Factors of 5145 in pair can be written as (1,5145), (3,1715), (5,1029), (7,735), (15,343), (21,245), (35,147), (49,105).

Write the smallest prime factor of 5145.

Smallest prime factor of 5145 is 3.