Factors of 945 in pair are (1, 945) , (3, 315) , (5, 189) , (7, 135) , (9, 105) , (15, 63) , (21, 45) and (27, 35)

How to find factors of a number in pair

Steps to find factors of 945 in pair

Example: Find factors of 945 in pair

Factor Pair Pair Factorization
1 and 945 1 x 945 = 945
3 and 315 3 x 315 = 945
5 and 189 5 x 189 = 945
7 and 135 7 x 135 = 945
9 and 105 9 x 105 = 945
15 and 63 15 x 63 = 945
21 and 45 21 x 45 = 945
27 and 35 27 x 35 = 945

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 945. They are called negative pair factors.

Hence, the negative pairs of 945 would be ( -1 , -945 ) .

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 945 are 1 , 3 , 5 , 7 , 9 , 15 , 21 , 27 , 35 , 45 , 63 , 105 , 135 , 189 , 315 , 945. So, factors of 945 in pair are (1,945), (3,315), (5,189), (7,135), (9,105), (15,63), (21,45), (27,35).

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, 105, 135, 189, 315, 945 are exact divisors of 945.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 945 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 945.

Steps to find Factors of 945

  • Step 1. Find all the numbers that would divide 945 without leaving any remainder. Starting with the number 1 upto 472 (half of 945). The number 1 and the number itself are always factors of the given number.
    945 ÷ 1 : Remainder = 0
    945 ÷ 3 : Remainder = 0
    945 ÷ 5 : Remainder = 0
    945 ÷ 7 : Remainder = 0
    945 ÷ 9 : Remainder = 0
    945 ÷ 15 : Remainder = 0
    945 ÷ 21 : Remainder = 0
    945 ÷ 27 : Remainder = 0
    945 ÷ 35 : Remainder = 0
    945 ÷ 45 : Remainder = 0
    945 ÷ 63 : Remainder = 0
    945 ÷ 105 : Remainder = 0
    945 ÷ 135 : Remainder = 0
    945 ÷ 189 : Remainder = 0
    945 ÷ 315 : Remainder = 0
    945 ÷ 945 : Remainder = 0

Hence, Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, and 945

Frequently Asked Questions

  • Is 945 a composite number?

    Yes 945 is a composite number.

  • Is 945 a perfect square?

    No 945 is not a perfect square.

  • Write all odd factors of 945?

    The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945.
    Odd factors of 945 are 1 , 3 , 5 , 7 , 9 , 15 , 21 , 27 , 35 , 45 , 63 , 105 , 135 , 189 , 315 , 945.

  • What is the mean of all prime factors of 945?

    Factors of 945 are 1 , 3 , 5 , 7 , 9 , 15 , 21 , 27 , 35 , 45 , 63 , 105 , 135 , 189 , 315 , 945. Prime factors of 945 are 3 , 3 , 3 , 5 , 7. Therefore mean of prime factors of 945 is (3 + 3 + 3 + 5 + 7) / 5 = 4.20.

  • 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 945 blocks in order to form a rectangle in all possible ways? For arranging 945 blocks in order to form a rectangle in all possible ways we need to find factors of 945 in pair.

Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945. So, factors of 945 in pair are (1,945), (3,315), (5,189), (7,135), (9,105), (15,63), (21,45), (27,35).

How many total number of factors of 945 in pair are possible?

Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945. Hence, the factors of 945 in pair are (1,945), (3,315), (5,189), (7,135), (9,105), (15,63), (21,45), (27,35). Therefore, in total 8 pairs of factors are possible.

Sammy wants to write all the negative factors of 945 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 945 are -1, -3, -5, -7, -9, -15, -21, -27, -35, -45, -63, -105, -135, -189, -315, -945. Hence, factors of 945 in pair are (-1,-945), (-3,-315), (-5,-189), (-7,-135), (-9,-105), (-15,-63), (-21,-45), (-27,-35).

Find the product of all prime factors of 945.

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

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 945.
- Writing all prime factors of 945.
- Writing all the possible factors of 945 in pair.
Help him in writing all these.

Positive factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945.
Prime factors of 945 are 3, 3, 3, 5, 7.
Factors of 945 in pair are (1,945), (3,315), (5,189), (7,135), (9,105), (15,63), (21,45), (27,35).

Can you help Sammy list the factors of 945 and also find the factor pairs?

Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945.
Factors of 945 in pair are (1,945), (3,315), (5,189), (7,135), (9,105), (15,63), (21,45), (27,35).

Help Diji in finding factors of 945 by Prime Factorization method and then sorting factors of 945 in pairs.

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

Write the smallest prime factor of 945.

Smallest prime factor of 945 is 3.