Factors of 292 are the list of integers that we can split evenly into 292. There are overall 6 factors of 292 i.e. 1, 2, 4, 73, 146, 292 where 292 is the biggest factor. The sum of all factors of 292 is 518. Its Prime Factors are 2 × 73 and (1, 292), (2, 146), (4, 73) are Pair Factors.

• All Factors of 292: 1, 2, 4, 73, 146 and 292
• Negative Factors of 292: -1, -2, -4, -73, -146 and -292
• Prime Factors of 292: 2, 73
• Prime Factorization of 292: 2² × 73¹
• Sum of Factors of 292: 518

1.	What Are the Factors of 292?
2.	Factors of 292 by Prime Factorization
3.	Factors of 292 in Pairs
4.	FAQs on Factors of 292

Factors of 292 are pairs of those numbers whose products result in 292. These factors are either prime numbers or composite numbers.

How to Find the Factors of 292?

To find the factors of 292, we will have to find the list of numbers that would divide 292 without leaving any remainder.

• 292/146 = 2; therefore, 146 is a factor of 292 and 2 is also a factor of 292.
• 292/73 = 4; therefore, 73 is a factor of 292 and 4 is also a factor of 292.

Similarly we can find other factors. Hence, the factors of 292 are 1, 2, 4, 73, 146, 292.

☛ Also Check:

• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 49 - The factors of 49 are 1, 7, 49
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
• Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 121 - The factors of 121 are 1, 11, 121

The number 292 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 292. The first step is to divide the number 292 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 292 ÷ 2 = 146
• 146 ÷ 2 = 73

Further dividing 73 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 73 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 292 can be written as 2² × 73¹ where 2, 73 are prime.

Pair factors of 292 are the pairs of numbers that when multiplied give the product 292. The factors of 292 in pairs are:

• 1 × 292 = (1, 292)
• 2 × 146 = (2, 146)
• 4 × 73 = (4, 73)

Negative pair factors of 292 are:

• -1 × -292 = (-1, -292)
• -2 × -146 = (-2, -146)
• -4 × -73 = (-4, -73)

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