Factors of 8505 in pair are (1, 8505) , (3, 2835) , (5, 1701) , (7, 1215) , (9, 945) , (15, 567) , (21, 405) , (27, 315) , (35, 243) , (45, 189) , (63, 135) and (81, 105)

How to find factors of a number in pair

Steps to find factors of 8505 in pair

Example: Find factors of 8505 in pair

Factor Pair Pair Factorization
1 and 8505 1 x 8505 = 8505
3 and 2835 3 x 2835 = 8505
5 and 1701 5 x 1701 = 8505
7 and 1215 7 x 1215 = 8505
9 and 945 9 x 945 = 8505
15 and 567 15 x 567 = 8505
21 and 405 21 x 405 = 8505
27 and 315 27 x 315 = 8505
35 and 243 35 x 243 = 8505
45 and 189 45 x 189 = 8505
63 and 135 63 x 135 = 8505
81 and 105 81 x 105 = 8505

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 8505. They are called negative pair factors.

Hence, the negative pairs of 8505 would be ( -1 , -8505 ) .

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 8505 are 1 , 3 , 5 , 7 , 9 , 15 , 21 , 27 , 35 , 45 , 63 , 81 , 105 , 135 , 189 , 243 , 315 , 405 , 567 , 945 , 1215 , 1701 , 2835 , 8505. So, factors of 8505 in pair are (1,8505), (3,2835), (5,1701), (7,1215), (9,945), (15,567), (21,405), (27,315), (35,243), (45,189), (63,135), (81,105).

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, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505 are exact divisors of 8505.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 8505 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 8505.

Steps to find Factors of 8505

  • Step 1. Find all the numbers that would divide 8505 without leaving any remainder. Starting with the number 1 upto 4252 (half of 8505). The number 1 and the number itself are always factors of the given number.
    8505 ÷ 1 : Remainder = 0
    8505 ÷ 3 : Remainder = 0
    8505 ÷ 5 : Remainder = 0
    8505 ÷ 7 : Remainder = 0
    8505 ÷ 9 : Remainder = 0
    8505 ÷ 15 : Remainder = 0
    8505 ÷ 21 : Remainder = 0
    8505 ÷ 27 : Remainder = 0
    8505 ÷ 35 : Remainder = 0
    8505 ÷ 45 : Remainder = 0
    8505 ÷ 63 : Remainder = 0
    8505 ÷ 81 : Remainder = 0
    8505 ÷ 105 : Remainder = 0
    8505 ÷ 135 : Remainder = 0
    8505 ÷ 189 : Remainder = 0
    8505 ÷ 243 : Remainder = 0
    8505 ÷ 315 : Remainder = 0
    8505 ÷ 405 : Remainder = 0
    8505 ÷ 567 : Remainder = 0
    8505 ÷ 945 : Remainder = 0
    8505 ÷ 1215 : Remainder = 0
    8505 ÷ 1701 : Remainder = 0
    8505 ÷ 2835 : Remainder = 0
    8505 ÷ 8505 : Remainder = 0

Hence, Factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, and 8505

Frequently Asked Questions

  • Is 8505 a composite number?

    Yes 8505 is a composite number.

  • Is 8505 a perfect square?

    No 8505 is not a perfect square.

  • Write all odd factors of 8505?

    The factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505.
    Odd factors of 8505 are 1 , 3 , 5 , 7 , 9 , 15 , 21 , 27 , 35 , 45 , 63 , 81 , 105 , 135 , 189 , 243 , 315 , 405 , 567 , 945 , 1215 , 1701 , 2835 , 8505.

  • What is the mean of all prime factors of 8505?

    Factors of 8505 are 1 , 3 , 5 , 7 , 9 , 15 , 21 , 27 , 35 , 45 , 63 , 81 , 105 , 135 , 189 , 243 , 315 , 405 , 567 , 945 , 1215 , 1701 , 2835 , 8505. Prime factors of 8505 are 3 , 3 , 3 , 3 , 3 , 5 , 7. Therefore mean of prime factors of 8505 is (3 + 3 + 3 + 3 + 3 + 5 + 7) / 7 = 3.86.

  • 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 8505 blocks in order to form a rectangle in all possible ways? For arranging 8505 blocks in order to form a rectangle in all possible ways we need to find factors of 8505 in pair.

Factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505. So, factors of 8505 in pair are (1,8505), (3,2835), (5,1701), (7,1215), (9,945), (15,567), (21,405), (27,315), (35,243), (45,189), (63,135), (81,105).

How many total number of factors of 8505 in pair are possible?

Factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505. Hence, the factors of 8505 in pair are (1,8505), (3,2835), (5,1701), (7,1215), (9,945), (15,567), (21,405), (27,315), (35,243), (45,189), (63,135), (81,105). Therefore, in total 12 pairs of factors are possible.

Sammy wants to write all the negative factors of 8505 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 8505 are -1, -3, -5, -7, -9, -15, -21, -27, -35, -45, -63, -81, -105, -135, -189, -243, -315, -405, -567, -945, -1215, -1701, -2835, -8505. Hence, factors of 8505 in pair are (-1,-8505), (-3,-2835), (-5,-1701), (-7,-1215), (-9,-945), (-15,-567), (-21,-405), (-27,-315), (-35,-243), (-45,-189), (-63,-135), (-81,-105).

Find the product of all prime factors of 8505.

Factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505. Prime factors are 3, 3, 3, 3, 3, 5, 7. So, the product of all prime factors of 8505 would be 3 x 3 x 3 x 3 x 3 x 5 x 7 = 8505.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 8505.
- Writing all prime factors of 8505.
- Writing all the possible factors of 8505 in pair.
Help him in writing all these.

Positive factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505.
Prime factors of 8505 are 3, 3, 3, 3, 3, 5, 7.
Factors of 8505 in pair are (1,8505), (3,2835), (5,1701), (7,1215), (9,945), (15,567), (21,405), (27,315), (35,243), (45,189), (63,135), (81,105).

Can you help Sammy list the factors of 8505 and also find the factor pairs?

Factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505.
Factors of 8505 in pair are (1,8505), (3,2835), (5,1701), (7,1215), (9,945), (15,567), (21,405), (27,315), (35,243), (45,189), (63,135), (81,105).

Help Diji in finding factors of 8505 by Prime Factorization method and then sorting factors of 8505 in pairs.

Prime factorization of 8505 is 3 x 3 x 3 x 3 x 3 x 5 x 7. Factors of 8505 in pair can be written as (1,8505), (3,2835), (5,1701), (7,1215), (9,945), (15,567), (21,405), (27,315), (35,243), (45,189), (63,135), (81,105).

Write the smallest prime factor of 8505.

Smallest prime factor of 8505 is 3.