Factors of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, and 9520

How to find factors of a number

1. Steps to find factors of 9520 using Division Method

Example: Find factors of 9520

  • Divide 9520 by 1: 9520 ÷ 1 : Remainder = 0
  • Divide 9520 by 2: 9520 ÷ 2 : Remainder = 0
  • Divide 9520 by 4: 9520 ÷ 4 : Remainder = 0
  • Divide 9520 by 5: 9520 ÷ 5 : Remainder = 0
  • Divide 9520 by 7: 9520 ÷ 7 : Remainder = 0
  • Divide 9520 by 8: 9520 ÷ 8 : Remainder = 0
  • Divide 9520 by 10: 9520 ÷ 10 : Remainder = 0
  • Divide 9520 by 14: 9520 ÷ 14 : Remainder = 0
  • Divide 9520 by 16: 9520 ÷ 16 : Remainder = 0
  • Divide 9520 by 17: 9520 ÷ 17 : Remainder = 0
  • Divide 9520 by 20: 9520 ÷ 20 : Remainder = 0
  • Divide 9520 by 28: 9520 ÷ 28 : Remainder = 0
  • Divide 9520 by 34: 9520 ÷ 34 : Remainder = 0
  • Divide 9520 by 35: 9520 ÷ 35 : Remainder = 0
  • Divide 9520 by 40: 9520 ÷ 40 : Remainder = 0
  • Divide 9520 by 56: 9520 ÷ 56 : Remainder = 0
  • Divide 9520 by 68: 9520 ÷ 68 : Remainder = 0
  • Divide 9520 by 70: 9520 ÷ 70 : Remainder = 0
  • Divide 9520 by 80: 9520 ÷ 80 : Remainder = 0
  • Divide 9520 by 85: 9520 ÷ 85 : Remainder = 0
  • Divide 9520 by 112: 9520 ÷ 112 : Remainder = 0
  • Divide 9520 by 119: 9520 ÷ 119 : Remainder = 0
  • Divide 9520 by 136: 9520 ÷ 136 : Remainder = 0
  • Divide 9520 by 140: 9520 ÷ 140 : Remainder = 0
  • Divide 9520 by 170: 9520 ÷ 170 : Remainder = 0
  • Divide 9520 by 238: 9520 ÷ 238 : Remainder = 0
  • Divide 9520 by 272: 9520 ÷ 272 : Remainder = 0
  • Divide 9520 by 280: 9520 ÷ 280 : Remainder = 0
  • Divide 9520 by 340: 9520 ÷ 340 : Remainder = 0
  • Divide 9520 by 476: 9520 ÷ 476 : Remainder = 0
  • Divide 9520 by 560: 9520 ÷ 560 : Remainder = 0
  • Divide 9520 by 595: 9520 ÷ 595 : Remainder = 0
  • Divide 9520 by 680: 9520 ÷ 680 : Remainder = 0
  • Divide 9520 by 952: 9520 ÷ 952 : Remainder = 0
  • Divide 9520 by 1190: 9520 ÷ 1190 : Remainder = 0
  • Divide 9520 by 1360: 9520 ÷ 1360 : Remainder = 0
  • Divide 9520 by 1904: 9520 ÷ 1904 : Remainder = 0
  • Divide 9520 by 2380: 9520 ÷ 2380 : Remainder = 0
  • Divide 9520 by 4760: 9520 ÷ 4760 : Remainder = 0
  • Divide 9520 by 9520: 9520 ÷ 9520 : Remainder = 0

Hence, Factors of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, and 9520

2. Steps to find factors of 9520 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 9520 using the division method, follow these steps:

  • Step 1. Start dividing 9520 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 9520, which is 2. Divide 9520 by 2 to obtain the quotient (4760).
    9520 ÷ 2 = 4760
  • Step 3. Repeat step 1 with the obtained quotient (4760).
    4760 ÷ 2 = 2380
    2380 ÷ 2 = 1190
    1190 ÷ 2 = 595
    595 ÷ 5 = 119
    119 ÷ 7 = 17
    17 ÷ 17 = 1

So, the prime factorization of 9520 is, 9520 = 2 x 2 x 2 x 2 x 5 x 7 x 17.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 9520 as shown below:

So, the prime factorization of 9520 is, 9520 = 2 x 2 x 2 x 2 x 5 x 7 x 17.

3. Find factors of 9520 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 9520 would be the two numbers which, when multiplied, give 9520 as the result.

The following table represents the calculation of factors of 9520 in pairs:

Factor Pair Pair Factorization
1 and 9520 1 x 9520 = 9520
2 and 4760 2 x 4760 = 9520
4 and 2380 4 x 2380 = 9520
5 and 1904 5 x 1904 = 9520
7 and 1360 7 x 1360 = 9520
8 and 1190 8 x 1190 = 9520
10 and 952 10 x 952 = 9520
14 and 680 14 x 680 = 9520
16 and 595 16 x 595 = 9520
17 and 560 17 x 560 = 9520
20 and 476 20 x 476 = 9520
28 and 340 28 x 340 = 9520
34 and 280 34 x 280 = 9520
35 and 272 35 x 272 = 9520
40 and 238 40 x 238 = 9520
56 and 170 56 x 170 = 9520
68 and 140 68 x 140 = 9520
70 and 136 70 x 136 = 9520
80 and 119 80 x 119 = 9520
85 and 112 85 x 112 = 9520

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 9520. They are called negative pair factors.

Hence, the negative pairs of 9520 would be ( -1 , -9520 ) , ( -2 , -4760 ) , ( -4 , -2380 ) , ( -5 , -1904 ) , ( -7 , -1360 ) , ( -8 , -1190 ) , ( -10 , -952 ) , ( -14 , -680 ) , ( -16 , -595 ) , ( -17 , -560 ) , ( -20 , -476 ) , ( -28 , -340 ) , ( -34 , -280 ) , ( -35 , -272 ) , ( -40 , -238 ) , ( -56 , -170 ) , ( -68 , -140 ) , ( -70 , -136 ) , ( -80 , -119 ) and ( -85 , -112 ) .

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

  • Each number is a factor of itself. Eg. 9520 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 9520.
  • Every number is a factor of zero (0), since 9520 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, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520 are exact divisors of 9520.
  • Factors of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520. Each factor divides 9520 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520 are all less than or equal to 9520.

Frequently Asked Questions

  • Which is the smallest prime factor of 9520?

    The smallest prime factor of 9520 is 2.

  • Is 9520 a whole number?

    Yes 9520 is a whole number.

  • What are the prime factors of 9520?

    The factors of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520.
    Prime factors of 9520 are 2, 2, 2, 2, 5, 7, 17.

  • What two numbers make 9520?

    Two numbers that make 9520 are 2 and 4760.

  • What are multiples of 9520?

    First five multiples of 9520 are 19040, 28560, 38080, 47600.

  • What is the sum of all factors of 9520?

    The sum of all factors of 9520 is 26784.

  • What are five multiples of 9520?

    First five multiples of 9520 are 19040, 28560, 38080, 47600, 57120.

  • Is 9520 a perfect square?

    No 9520 is not a perfect square.

  • What is the greatest prime factors of 9520?

    The greatest prime factor of 9520 is 17.

Examples of Factors

How many factors are there for 9520?

Factors of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520.
So there are in total 40 factors.

Kevin has been asked to write 39 factor(s) of 9520. Can you predict the answer?

39 factor(s) of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760.

Sammy is puzzled while calculating the prime factors of 9520. Can you help him find them?

Factors of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520.
Prime factors of 9520 are 2, 2, 2, 2, 5, 7, 17

What is prime factorization of 9520?

Prime factorization of 9520 is 2 x 2 x 2 x 2 x 5 x 7 x 17 = 24 x 5 x 7 x 17.

Ariel has been assigned the task to find the product of all the prime factors of 9520. Can you help her?

Prime factors of 9520 are 2, 2, 2, 2, 5, 7, 17.
Hence, the product of prime factors of 1190.

Can you help Rubel to find out the product of the even factors of 9520?

Factors of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520.
Even factors of 9520 are 2, 4, 8, 10, 14, 16, 20, 28, 34, 40, 56, 68, 70, 80, 112, 136, 140, 170, 238, 272, 280, 340, 476, 560, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520.
Hence, product of even factors of 9520 is; 2 x 4 x 8 x 10 x 14 x 16 x 20 x 28 x 34 x 40 x 56 x 68 x 70 x 80 x 112 x 136 x 140 x 170 x 238 x 272 x 280 x 340 x 476 x 560 x 680 x 952 x 1190 x 1360 x 1904 x 2380 x 4760 x 9520 = 2.983122616939214e+68.

Joy wants to calculate mean of all the factors of 9520. Help him in finding the mean of 9520.

Factors of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 9520 is 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 17 + 20 + 28 + 34 + 35 + 40 + 56 + 68 + 70 + 80 + 85 + 112 + 119 + 136 + 140 + 170 + 238 + 272 + 280 + 340 + 476 + 560 + 595 + 680 + 952 + 1190 + 1360 + 1904 + 2380 + 4760 + 9520 = 26784.
Hence, the mean of factors of 9520 is 26784 ÷ 40 = 669.60.