Factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, and 9800

How to find factors of a number

1. Steps to find factors of 9800 using Division Method

Example: Find factors of 9800

  • Divide 9800 by 1: 9800 ÷ 1 : Remainder = 0
  • Divide 9800 by 2: 9800 ÷ 2 : Remainder = 0
  • Divide 9800 by 4: 9800 ÷ 4 : Remainder = 0
  • Divide 9800 by 5: 9800 ÷ 5 : Remainder = 0
  • Divide 9800 by 7: 9800 ÷ 7 : Remainder = 0
  • Divide 9800 by 8: 9800 ÷ 8 : Remainder = 0
  • Divide 9800 by 10: 9800 ÷ 10 : Remainder = 0
  • Divide 9800 by 14: 9800 ÷ 14 : Remainder = 0
  • Divide 9800 by 20: 9800 ÷ 20 : Remainder = 0
  • Divide 9800 by 25: 9800 ÷ 25 : Remainder = 0
  • Divide 9800 by 28: 9800 ÷ 28 : Remainder = 0
  • Divide 9800 by 35: 9800 ÷ 35 : Remainder = 0
  • Divide 9800 by 40: 9800 ÷ 40 : Remainder = 0
  • Divide 9800 by 49: 9800 ÷ 49 : Remainder = 0
  • Divide 9800 by 50: 9800 ÷ 50 : Remainder = 0
  • Divide 9800 by 56: 9800 ÷ 56 : Remainder = 0
  • Divide 9800 by 70: 9800 ÷ 70 : Remainder = 0
  • Divide 9800 by 98: 9800 ÷ 98 : Remainder = 0
  • Divide 9800 by 100: 9800 ÷ 100 : Remainder = 0
  • Divide 9800 by 140: 9800 ÷ 140 : Remainder = 0
  • Divide 9800 by 175: 9800 ÷ 175 : Remainder = 0
  • Divide 9800 by 196: 9800 ÷ 196 : Remainder = 0
  • Divide 9800 by 200: 9800 ÷ 200 : Remainder = 0
  • Divide 9800 by 245: 9800 ÷ 245 : Remainder = 0
  • Divide 9800 by 280: 9800 ÷ 280 : Remainder = 0
  • Divide 9800 by 350: 9800 ÷ 350 : Remainder = 0
  • Divide 9800 by 392: 9800 ÷ 392 : Remainder = 0
  • Divide 9800 by 490: 9800 ÷ 490 : Remainder = 0
  • Divide 9800 by 700: 9800 ÷ 700 : Remainder = 0
  • Divide 9800 by 980: 9800 ÷ 980 : Remainder = 0
  • Divide 9800 by 1225: 9800 ÷ 1225 : Remainder = 0
  • Divide 9800 by 1400: 9800 ÷ 1400 : Remainder = 0
  • Divide 9800 by 1960: 9800 ÷ 1960 : Remainder = 0
  • Divide 9800 by 2450: 9800 ÷ 2450 : Remainder = 0
  • Divide 9800 by 4900: 9800 ÷ 4900 : Remainder = 0
  • Divide 9800 by 9800: 9800 ÷ 9800 : Remainder = 0

Hence, Factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, and 9800

2. Steps to find factors of 9800 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 9800 using the division method, follow these steps:

  • Step 1. Start dividing 9800 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 9800, which is 2. Divide 9800 by 2 to obtain the quotient (4900).
    9800 ÷ 2 = 4900
  • Step 3. Repeat step 1 with the obtained quotient (4900).
    4900 ÷ 2 = 2450
    2450 ÷ 2 = 1225
    1225 ÷ 5 = 245
    245 ÷ 5 = 49
    49 ÷ 7 = 7
    7 ÷ 7 = 1

So, the prime factorization of 9800 is, 9800 = 2 x 2 x 2 x 5 x 5 x 7 x 7.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 9800 as shown below:

So, the prime factorization of 9800 is, 9800 = 2 x 2 x 2 x 5 x 5 x 7 x 7.

3. Find factors of 9800 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 9800 would be the two numbers which, when multiplied, give 9800 as the result.

The following table represents the calculation of factors of 9800 in pairs:

Factor Pair Pair Factorization
1 and 9800 1 x 9800 = 9800
2 and 4900 2 x 4900 = 9800
4 and 2450 4 x 2450 = 9800
5 and 1960 5 x 1960 = 9800
7 and 1400 7 x 1400 = 9800
8 and 1225 8 x 1225 = 9800
10 and 980 10 x 980 = 9800
14 and 700 14 x 700 = 9800
20 and 490 20 x 490 = 9800
25 and 392 25 x 392 = 9800
28 and 350 28 x 350 = 9800
35 and 280 35 x 280 = 9800
40 and 245 40 x 245 = 9800
49 and 200 49 x 200 = 9800
50 and 196 50 x 196 = 9800
56 and 175 56 x 175 = 9800
70 and 140 70 x 140 = 9800
98 and 100 98 x 100 = 9800

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 9800. They are called negative pair factors.

Hence, the negative pairs of 9800 would be ( -1 , -9800 ) , ( -2 , -4900 ) , ( -4 , -2450 ) , ( -5 , -1960 ) , ( -7 , -1400 ) , ( -8 , -1225 ) , ( -10 , -980 ) , ( -14 , -700 ) , ( -20 , -490 ) , ( -25 , -392 ) , ( -28 , -350 ) , ( -35 , -280 ) , ( -40 , -245 ) , ( -49 , -200 ) , ( -50 , -196 ) , ( -56 , -175 ) , ( -70 , -140 ) and ( -98 , -100 ) .

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. 9800 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 9800.
  • Every number is a factor of zero (0), since 9800 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, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800 are exact divisors of 9800.
  • Factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800. Each factor divides 9800 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, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800 are all less than or equal to 9800.

Frequently Asked Questions

  • What is prime factorization of 9800?

    Prime factorization of 9800 is 2 x 2 x 2 x 5 x 5 x 7 x 7.

  • How do you find factors of a negative number? ( eg. -9800 )?

    Factors of -9800 are -1, -2, -4, -5, -7, -8, -10, -14, -20, -25, -28, -35, -40, -49, -50, -56, -70, -98, -100, -140, -175, -196, -200, -245, -280, -350, -392, -490, -700, -980, -1225, -1400, -1960, -2450, -4900, -9800.

  • What are the prime factors of 9800?

    The factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800.
    Prime factors of 9800 are 2, 2, 2, 5, 5, 7, 7.

  • What are pair factors of 9800?

    The pair factors of 9800 are (1,9800), (2,4900), (4,2450), (5,1960), (7,1400), (8,1225), (10,980), (14,700), (20,490), (25,392), (28,350), (35,280), (40,245), (49,200), (50,196), (56,175), (70,140), (98,100).

  • What is the greatest prime factors of 9800?

    The greatest prime factor of 9800 is 7.

  • What are six multiples of 9800?

    First five multiples of 9800 are 19600, 29400, 39200, 49000, 58800, 68600.

  • What are factors of 9800?

    Factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800.

  • Which is the smallest prime factor of 9800?

    Smallest prime factor of 9800 is 2.

  • Is 9800 a whole number?

    Yes 9800 is a whole number.

Examples of Factors

Kevin has been asked to write 35 factor(s) of 9800. Can you predict the answer?

35 factor(s) of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900.

Sammy is puzzled while calculating the prime factors of 9800. Can you help him find them?

Factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800.
Prime factors of 9800 are 2, 2, 2, 5, 5, 7, 7

What is prime factorization of 9800?

Prime factorization of 9800 is 2 x 2 x 2 x 5 x 5 x 7 x 7 = 23 x 52 x 72.

Ariel has been assigned the task to find the product of all the prime factors of 9800. Can you help her?

Prime factors of 9800 are 2, 2, 2, 5, 5, 7, 7.
Hence, the product of prime factors of 70.

Can you help Rubel to find out the product of the even factors of 9800?

Factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800.
Even factors of 9800 are 2, 4, 8, 10, 14, 20, 28, 40, 50, 56, 70, 98, 100, 140, 196, 200, 280, 350, 392, 490, 700, 980, 1400, 1960, 2450, 4900, 9800.
Hence, product of even factors of 9800 is; 2 x 4 x 8 x 10 x 14 x 20 x 28 x 40 x 50 x 56 x 70 x 98 x 100 x 140 x 196 x 200 x 280 x 350 x 392 x 490 x 700 x 980 x 1400 x 1960 x 2450 x 4900 x 9800 = 8.819763977946279e+57.

Joy wants to calculate mean of all the factors of 9800. Help him in finding the mean of 9800.

Factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 9800 is 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 25 + 28 + 35 + 40 + 49 + 50 + 56 + 70 + 98 + 100 + 140 + 175 + 196 + 200 + 245 + 280 + 350 + 392 + 490 + 700 + 980 + 1225 + 1400 + 1960 + 2450 + 4900 + 9800 = 26505.
Hence, the mean of factors of 9800 is 26505 ÷ 36 = 736.25.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 9800? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800.
Negative factors are -1, -2, -4, -5, -7, -8, -10, -14, -20, -25, -28, -35, -40, -49, -50, -56, -70, -98, -100, -140, -175, -196, -200, -245, -280, -350, -392, -490, -700, -980, -1225, -1400, -1960, -2450, -4900, -9800.