1. Steps to find factors of 527 using Division Method

Example: Find factors of 527

  • Divide 527 by 1: 527 ÷ 1 : Remainder = 0
  • Divide 527 by 17: 527 ÷ 17 : Remainder = 0
  • Divide 527 by 31: 527 ÷ 31 : Remainder = 0
  • Divide 527 by 527: 527 ÷ 527 : Remainder = 0

Hence, Factors of 527 are 1, 17, 31, and 527

2. Steps to find factors of 527 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 527 using the division method, follow these steps:

  • Step 1. Start dividing 527 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
  • Step 2. After finding the smallest prime factor of the number 527, which is 17. Divide 527 by 17 to obtain the quotient (31).
    527 ÷ 17 = 31
  • Step 3. Repeat step 1 with the obtained quotient (31).
    31 ÷ 31 = 1

So, the prime factorization of 527 is, 527 = 17 x 31.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 527 as shown below:

So, the prime factorization of 527 is, 527 = 17 x 31.

3. Find factors of 527 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 527 would be the two numbers which, when multiplied, give 527 as the result.

The following table represents the calculation of factors of 527 in pairs:

Factor Pair Pair Factorization
1 and 527 1 x 527 = 527
17 and 31 17 x 31 = 527

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 527. They are called negative pair factors.

Hence, the negative pairs of 527 would be ( -1 , -527 ) , ( -17 , -31 ) .

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of factors

  • Every number is a factor of zero (0), since 527 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, 17, 31, 527 are exact divisors of 527.
  • Factors of 527 are 1, 17, 31, 527. Each factor divides 527 without leaving a remainder.

Frequently Asked Questions

  • What are the pair factors of 527?

    Pair factors of 527 are (1,527), (17,31).

  • What are five multiples of 527?

    First five multiples of 527 are 1054, 1581, 2108, 2635, 3162.

  • What two numbers make 527?

    Two numbers that make 527 are 17 and 31.

  • What is the sum of all factors of 527?

    The sum of all factors of 527 is 576.

  • What are factors of -527?

    Factors of -527 are -1, -17, -31, -527.

  • What are factors of 527?

    Factors of 527 are 1, 17, 31, 527.

  • Is 527 a perfect square?

    No 527 is not a perfect square.

  • Which is the smallest prime factor of 527?

    Smallest prime factor of 527 is 17.

  • Which is greatest factor of 527?

    The greatest factor of 527 is 31.

Examples of Factors

Can you help Sammy find out the product of the odd factors of 527?

Factors of 527 are 1, 17, 31, 527.
Odd factors of 527 are 1, 17, 31, 527.
Hence product of odd factors of 527 is; 1 x 17 x 31 x 527 = 277729.

Joey wants to write all the prime factors of 527 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 527 are 17, 31.
So in exponential form it can be written as 17 x 31.

How many factors are there for 527?

Factors of 527 are 1, 17, 31, 527.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 527. Can you predict the answer?

3 factor(s) of 527 are 1, 17, 31.

Sammy is puzzled while calculating the prime factors of 527. Can you help him find them?

Factors of 527 are 1, 17, 31, 527.
Prime factors of 527 are 17, 31

What is prime factorization of 527?

Prime factorization of 527 is 17 x 31 = 17 x 31.

Can you help Rubel to find out the product of the even factors of 527?

Factors of 527 are 1, 17, 31, 527.
Even factors of 527 are 0.
Hence, product of even factors of 527 is; 0 = 0.