Factors of 4375 in pair are (1, 4375) , (5, 875) , (7, 625) , (25, 175) and (35, 125)

How to find factors of a number in pair

Steps to find factors of 4375 in pair

Example: Find factors of 4375 in pair

Factor Pair Pair Factorization
1 and 4375 1 x 4375 = 4375
5 and 875 5 x 875 = 4375
7 and 625 7 x 625 = 4375
25 and 175 25 x 175 = 4375
35 and 125 35 x 125 = 4375

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 4375. They are called negative pair factors.

Hence, the negative pairs of 4375 would be ( -1 , -4375 ) .

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 4375 are 1 , 5 , 7 , 25 , 35 , 125 , 175 , 625 , 875 , 4375. So, factors of 4375 in pair are (1,4375), (5,875), (7,625), (25,175), (35,125).

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 4375 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, 5, 7, 25, 35, 125, 175, 625, 875, 4375 are exact divisors of 4375.
  • Factors of 4375 are 1, 5, 7, 25, 35, 125, 175, 625, 875, 4375. Each factor divides 4375 without leaving a remainder.

Steps to find Factors of 4375

  • Step 1. Find all the numbers that would divide 4375 without leaving any remainder. Starting with the number 1 upto 2187 (half of 4375). The number 1 and the number itself are always factors of the given number.
    4375 ÷ 1 : Remainder = 0
    4375 ÷ 5 : Remainder = 0
    4375 ÷ 7 : Remainder = 0
    4375 ÷ 25 : Remainder = 0
    4375 ÷ 35 : Remainder = 0
    4375 ÷ 125 : Remainder = 0
    4375 ÷ 175 : Remainder = 0
    4375 ÷ 625 : Remainder = 0
    4375 ÷ 875 : Remainder = 0
    4375 ÷ 4375 : Remainder = 0

Hence, Factors of 4375 are 1, 5, 7, 25, 35, 125, 175, 625, 875, and 4375

Frequently Asked Questions

  • Is there any even prime factor of 4375?

    No there is no even prime factor, i.e. 2, of 4375.

  • What is the mean of all prime factors of 4375?

    Factors of 4375 are 1 , 5 , 7 , 25 , 35 , 125 , 175 , 625 , 875 , 4375. Prime factors of 4375 are 5 , 5 , 5 , 5 , 7. Therefore mean of prime factors of 4375 is (5 + 5 + 5 + 5 + 7) / 5 = 5.40.

  • What is the mean of factors of 4375?

    Factors of 4375 are 1 , 5 , 7 , 25 , 35 , 125 , 175 , 625 , 875 , 4375. therefore mean of factors of 4375 is (1 + 5 + 7 + 25 + 35 + 125 + 175 + 625 + 875 + 4375) / 10 = 624.80.

  • 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.

  • What do you mean by improper divisors?

    An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

How many total number of factors of 4375 in pair are possible?

Factors of 4375 are 1, 5, 7, 25, 35, 125, 175, 625, 875, 4375. Hence, the factors of 4375 in pair are (1,4375), (5,875), (7,625), (25,175), (35,125). Therefore, in total 5 pairs of factors are possible.

Help Deep in writing the positive factors of 4375 in pair and negative factor of 4375 in pair.

Factors of 4375 are 1, 5, 7, 25, 35, 125, 175, 625, 875, 4375. Positive factors of 4375 in pair are (1,4375), (5,875), (7,625), (25,175), (35,125). Negative factors of 4375 in pair are (-1,-4375), (-5,-875), (-7,-625), (-25,-175), (-35,-125).

Find the product of all factors of 4375.

Factors of 4375 are 1, 5, 7, 25, 35, 125, 175, 625, 875, 4375. So the product of all factors of 4375 would be 1 x 5 x 7 x 25 x 35 x 125 x 175 x 625 x 875 x 4375 = 1602840423583984400.

Find the product of all prime factors of 4375.

Factors of 4375 are 1, 5, 7, 25, 35, 125, 175, 625, 875, 4375. Prime factors are 5, 5, 5, 5, 7. So, the product of all prime factors of 4375 would be 5 x 5 x 5 x 5 x 7 = 4375.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 4375.
- Writing all prime factors of 4375.
- Writing all the possible factors of 4375 in pair.
Help him in writing all these.

Positive factors of 4375 are 1, 5, 7, 25, 35, 125, 175, 625, 875, 4375.
Prime factors of 4375 are 5, 5, 5, 5, 7.
Factors of 4375 in pair are (1,4375), (5,875), (7,625), (25,175), (35,125).

What are the pair factors of 4375?

Factors of 4375 are 1, 5, 7, 25, 35, 125, 175, 625, 875, 4375. Hence, the factors of 4375 in pair are (1,4375), (5,875), (7,625), (25,175), (35,125).

Can you help Sammy list the factors of 4375 and also find the factor pairs?

Factors of 4375 are 1, 5, 7, 25, 35, 125, 175, 625, 875, 4375.
Factors of 4375 in pair are (1,4375), (5,875), (7,625), (25,175), (35,125).

Sammy has 4375 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 4375 blocks in all possible ways to form a rectangle, we need to calculate factors of 4375 in pair. Therefore, factors of 4375 in pair are (1,4375), (5,875), (7,625), (25,175), (35,125)