Factors of 4900 are the list of integers that we can split evenly into 4900. There are 27 factors of 4900 of which 4900 itself is the biggest factor and its prime factors are 2, 5, 7 The sum of all factors of 4900 is 12369.

• All Factors of 4900: 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450 and 4900
• Prime Factors of 4900: 2, 5, 7
• Prime Factorization of 4900: 2² × 5² × 7²
• Sum of Factors of 4900: 12369

1.	What Are the Factors of 4900?
2.	Factors of 4900 by Prime Factorization
3.	Factors of 4900 in Pairs
4.	FAQs on Factors of 4900

Factors of 4900 are pairs of those numbers whose products result in 4900. These factors are either prime numbers or composite numbers.

How to Find the Factors of 4900?

To find the factors of 4900, we will have to find the list of numbers that would divide 4900 without leaving any remainder.

• 4900/245 = 20; therefore, 245 is a factor of 4900 and 20 is also a factor of 4900.
• 4900/350 = 14; therefore, 350 is a factor of 4900 and 14 is also a factor of 4900.

Similarly we can find other factors. Hence, the factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900.

☛ Also Check:

• Factors of 125 - The factors of 125 are 1, 5, 25, 125
• Factors of 10 - The factors of 10 are 1, 2, 5, 10
• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99

The number 4900 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 4900. The first step is to divide the number 4900 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 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 4900 can be written as 2² × 5² × 7² where 2, 5, 7 are prime.

Pair factors of 4900 are the pairs of numbers that when multiplied give the product 4900. The factors of 4900 in pairs are:

• 1 × 4900 = (1, 4900)
• 2 × 2450 = (2, 2450)
• 4 × 1225 = (4, 1225)
• 5 × 980 = (5, 980)
• 7 × 700 = (7, 700)
• 10 × 490 = (10, 490)
• 14 × 350 = (14, 350)
• 20 × 245 = (20, 245)
• 25 × 196 = (25, 196)
• 28 × 175 = (28, 175)
• 35 × 140 = (35, 140)
• 49 × 100 = (49, 100)
• 50 × 98 = (50, 98)
• 70 × 70 = (70, 70)

Negative pair factors of 4900 are:

• -1 × -4900 = (-1, -4900)
• -2 × -2450 = (-2, -2450)
• -4 × -1225 = (-4, -1225)
• -5 × -980 = (-5, -980)
• -7 × -700 = (-7, -700)
• -10 × -490 = (-10, -490)
• -14 × -350 = (-14, -350)
• -20 × -245 = (-20, -245)
• -25 × -196 = (-25, -196)
• -28 × -175 = (-28, -175)
• -35 × -140 = (-35, -140)
• -49 × -100 = (-49, -100)
• -50 × -98 = (-50, -98)
• -70 × -70 = (-70, -70)

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