Factors of 625
Factors of 625 are the whole numbers that can divide 625 without leaving any remainder. There 5 factors of 625 in all. 625 is the perfect square of 25, and since its final digit is 5, can also be divided by 5. The only two threedigit numbers that are factors of 625 are 125 and itself. In this minilesson, let's learn the factors of 625, the prime factorization of 625, and its pair factors.
 Factors of 625: 1, 5, 25, 125, and 625.
 Negative Factors of 625: 1, 5, 25, 125 and 625.
 Prime Factorization of 625: 5 × 5 × 5 × 5
What are Factors of 625?
Factors of 625 are all the numbers that are multiplied to get 625 as the product. The numbers which on multiplication result in 625 are:
 1 × 625 = 625
 5 × 125 = 625
 25 × 25 = 625
Hence we conclude, factors of 625 are 1, 5, 25, 125, and 625.
How to Calculate Factors of 625?
Factors of 625 are those numbers that divide it completely with 0 as the remainder. The numbers which on division with 625 given remainder 0 are:
 625 ÷ 625 = 1
 625 ÷ 125 = 5
 625 ÷ 25 = 25
 625 ÷ 5 = 125
 625 ÷ 1 = 625
Hence the factors of 625 are 1, 5, 25, 125, and 625. Explore factors using illustrations and interactive examples:
 Factors of 37: The factors of 37 are 1 and 37.
 Factors of 15: The factors of 15 are 1, 3, 5, and 15.
 Factors of 45: The factors of 45 are 1, 3, 5, 9, 15, and 45.
 Factors of 40: The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
 Factors of 25: The factors of 25 are 1, 5, and 25.
Factors of 625 by Prime Factorization
The factors of 625 by prime factorization can be done in two ways:
 The factors of 625 by the prime factorization (upsidedown division) method are:
 The factors of 625 by the factor tree method are:
Hence, 625 can be expressed as, 625 = 5 × 5 × 5 × 5 = 5 ^{4}
Factors of 625 in Pairs
 The pair of numbers that make 625 on multiplication are the factors of 625 in pairs.
 Therefore, factors of 625 in pairs are: (1, 625), (5, 125), and (25, 25).
Important Notes:
 The numbers which we multiply to get 625 are the factors of 625.
 Factors of 625 are 1, 5, 25, 125, and 625.
 1 is a universal factor because it is a factor of all numbers.
 Factors of 625 in pairs are (1, 625), (5, 125), and (25, 25).
Think Tank
 Can you think about the negative factors of 625?
 Can the multiples of 625 be the factors of 625?
 Think about a number that is a factor of 625 as well as a square of a factor of 625.
Factors of 625 Solved Examples

Example 1: Help Jamie provide the number of chairs for 625 people in an auditorium if the chairs are to be arranged in 25 rows,
Solution:
625 people ÷ 25 rows. 625 ÷ 25 = ____. Finding the missing factor, we get 625 ÷ 25 = 25.
Therefore, 625 people can be seated in 25 rows of 25 chairs.

Example 2: Help Andy list the prime factors of 625.
Solution:
625 can be expressed as, 625 = 5 × 5 × 5 × 5. Therefore, the distinct prime factor is 5.
FAQs on Factors of 625
What are the Factors of 625?
The factors of 625 are 1, 5, 25, 125, and 625.
What are the Common Factors of 625 and 25?
The factors of 625 are 1, 5, 25, 125, and 625. Similarly, the factors of 125 are 1, 5, and 25.
Thus, the common factors of 35 and 70 are 1, 5, and 25.
Is 625 a Prime Number or a Composite Number?
625 is a composite number. It has 1, 5, 25, 125, and 625 as its factors.
What are the Positive and Negative Factors of 625?
 The positive factors of 625 are 1, 5, 25, 125 and 625
 The negative factors of 625 are 1, 5, 25, 125, and 625
What are the Prime Factors of 625?
The distinct prime factor of 625 is 5.
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