Factors of 9800 are the list of integers that we can split evenly into 9800. There are 36 factors of 9800 of which 9800 itself is the biggest factor and its prime factors are 2, 5, 7 The sum of all factors of 9800 is 26505.

• All Factors of 9800: 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
• Prime Factors of 9800: 2, 5, 7
• Prime Factorization of 9800: 2³ × 5² × 7²
• Sum of Factors of 9800: 26505

1.	What Are the Factors of 9800?
2.	Factors of 9800 by Prime Factorization
3.	Factors of 9800 in Pairs
4.	FAQs on Factors of 9800

Factors of 9800 are pairs of those numbers whose products result in 9800. These factors are either prime numbers or composite numbers.

How to Find the Factors of 9800?

To find the factors of 9800, we will have to find the list of numbers that would divide 9800 without leaving any remainder.

• 9800/10 = 980; therefore, 10 is a factor of 9800 and 980 is also a factor of 9800.
• 9800/20 = 490; therefore, 20 is a factor of 9800 and 490 is also a factor of 9800.

Similarly we can find other factors. Hence, 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.

☛ Also Check:

• Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
• Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 9 - The factors of 9 are 1, 3, 9
• Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
• Factors of 21 - The factors of 21 are 1, 3, 7, 21

The number 9800 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 9800. The first step is to divide the number 9800 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 9800 ÷ 2 = 4900
• 4900 ÷ 2 = 2450
• 2450 ÷ 2 = 1225

Further dividing 1225 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 1225 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 9800 can be written as 2³ × 5² × 7² where 2, 5, 7 are prime.

Pair factors of 9800 are the pairs of numbers that when multiplied give the product 9800. The factors of 9800 in pairs are:

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

Negative pair factors of 9800 are:

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

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.