Factors of 975 in pair are (1, 975) , (3, 325) , (5, 195) , (13, 75) , (15, 65) and (25, 39)

How to find factors of a number in pair

Steps to find factors of 975 in pair

Example: Find factors of 975 in pair

Factor Pair Pair Factorization
1 and 975 1 x 975 = 975
3 and 325 3 x 325 = 975
5 and 195 5 x 195 = 975
13 and 75 13 x 75 = 975
15 and 65 15 x 65 = 975
25 and 39 25 x 39 = 975

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 975. They are called negative pair factors.

Hence, the negative pairs of 975 would be ( -1 , -975 ) .

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 975 are 1 , 3 , 5 , 13 , 15 , 25 , 39 , 65 , 75 , 195 , 325 , 975. So, factors of 975 in pair are (1,975), (3,325), (5,195), (13,75), (15,65), (25,39).

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 975 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, 13, 15, 25, 39, 65, 75, 195, 325, 975 are exact divisors of 975.
  • Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. Each factor divides 975 without leaving a remainder.

Steps to find Factors of 975

  • Step 1. Find all the numbers that would divide 975 without leaving any remainder. Starting with the number 1 upto 487 (half of 975). The number 1 and the number itself are always factors of the given number.
    975 ÷ 1 : Remainder = 0
    975 ÷ 3 : Remainder = 0
    975 ÷ 5 : Remainder = 0
    975 ÷ 13 : Remainder = 0
    975 ÷ 15 : Remainder = 0
    975 ÷ 25 : Remainder = 0
    975 ÷ 39 : Remainder = 0
    975 ÷ 65 : Remainder = 0
    975 ÷ 75 : Remainder = 0
    975 ÷ 195 : Remainder = 0
    975 ÷ 325 : Remainder = 0
    975 ÷ 975 : Remainder = 0

Hence, Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, and 975

Frequently Asked Questions

  • Is 975 a composite number?

    Yes 975 is a composite number.

  • Is 975 a perfect square?

    No 975 is not a perfect square.

  • Write all odd factors of 975?

    The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975.
    Odd factors of 975 are 1 , 3 , 5 , 13 , 15 , 25 , 39 , 65 , 75 , 195 , 325 , 975.

  • What is the mean of all prime factors of 975?

    Factors of 975 are 1 , 3 , 5 , 13 , 15 , 25 , 39 , 65 , 75 , 195 , 325 , 975. Prime factors of 975 are 3 , 5 , 5 , 13. Therefore mean of prime factors of 975 is (3 + 5 + 5 + 13) / 4 = 6.50.

  • 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

How many total number of factors of 975 in pair are possible?

Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. Hence, the factors of 975 in pair are (1,975), (3,325), (5,195), (13,75), (15,65), (25,39). Therefore, in total 6 pairs of factors are possible.

Help Deep in writing the positive factors of 975 in pair and negative factor of 975 in pair.

Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. Positive factors of 975 in pair are (1,975), (3,325), (5,195), (13,75), (15,65), (25,39). Negative factors of 975 in pair are (-1,-975), (-3,-325), (-5,-195), (-13,-75), (-15,-65), (-25,-39).

Find the product of all factors of 975.

Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. So the product of all factors of 975 would be 1 x 3 x 5 x 13 x 15 x 25 x 39 x 65 x 75 x 195 x 325 x 975 = 859068301025390600.

Find the product of all prime factors of 975.

Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. Prime factors are 3, 5, 5, 13. So, the product of all prime factors of 975 would be 3 x 5 x 5 x 13 = 975.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 975.
- Writing all prime factors of 975.
- Writing all the possible factors of 975 in pair.
Help him in writing all these.

Positive factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975.
Prime factors of 975 are 3, 5, 5, 13.
Factors of 975 in pair are (1,975), (3,325), (5,195), (13,75), (15,65), (25,39).

What are the pair factors of 975?

Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. Hence, the factors of 975 in pair are (1,975), (3,325), (5,195), (13,75), (15,65), (25,39).

Can you help Sammy list the factors of 975 and also find the factor pairs?

Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975.
Factors of 975 in pair are (1,975), (3,325), (5,195), (13,75), (15,65), (25,39).

Sammy has 975 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 975 blocks in all possible ways to form a rectangle, we need to calculate factors of 975 in pair. Therefore, factors of 975 in pair are (1,975), (3,325), (5,195), (13,75), (15,65), (25,39)