Factors of 436
Factors of 436 are the list of integers that we can split evenly into 436. There are total 6 factors of 436 i.e. 1, 2, 4, 109, 218, 436. The sum of all factors of 436 is 770 and its factors in Pairs are (1, 436), (2, 218), (4, 109).
- All Factors of 436: 1, 2, 4, 109, 218 and 436
- Negative Factors of 436: -1, -2, -4, -109, -218 and -436
- Prime Factors of 436: 2, 109
- Prime Factorization of 436: 22 × 1091
- Sum of Factors of 436: 770
1. | What Are the Factors of 436? |
2. | Factors of 436 by Prime Factorization |
3. | Factors of 436 in Pairs |
4. | FAQs on Factors of 436 |

What are Factors of 436?
Factors of 436 are pairs of those numbers whose products result in 436. These factors are either prime numbers or composite numbers.
How to Find the Factors of 436?
To find the factors of 436, we will have to find the list of numbers that would divide 436 without leaving any remainder.
- 436/109 = 4; therefore, 109 is a factor of 436 and 4 is also a factor of 436.
- 436/2 = 218; therefore, 2 is a factor of 436 and 218 is also a factor of 436.
☛ Also Check:
- Factors of 10 - The factors of 10 are 1, 2, 5, 10
- Factors of 55 - The factors of 55 are 1, 5, 11, 55
- Factors of 22 - The factors of 22 are 1, 2, 11, 22
- Factors of 39 - The factors of 39 are 1, 3, 13, 39
- Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
Factors of 436 by Prime Factorization
- 436 ÷ 2 = 218
- 218 ÷ 2 = 109
Further dividing 109 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 109 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 436 can be written as 22 × 1091 where 2, 109 are prime.
Factors of 436 in Pairs
Pair factors of 436 are the pairs of numbers that when multiplied give the product 436. The factors of 436 in pairs are:
- 1 × 436 = (1, 436)
- 2 × 218 = (2, 218)
- 4 × 109 = (4, 109)
Negative pair factors of 436 are:
- -1 × -436 = (-1, -436)
- -2 × -218 = (-2, -218)
- -4 × -109 = (-4, -109)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 436 Solved Examples
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Example 1: How many factors are there for 436?
Solution:
The factors of 436 are 1, 2, 4, 109, 218, 436. Therefore, 436 has 6 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 436 and 172.
Solution:
The factors of 436 are 1, 2, 4, 109, 218, 436 and factors of 172 are 1, 2, 4, 43, 86, 172.
Therefore, the Least Common Multiple of 436 and 172 is 18748 and Greatest Common Divisor (GCD) of 436 and 172 is 4. -
Example 3: Find if 109, 218, 419 and 436 are factors of 436.
Solution:
When we divide 436 by 419 it leaves a remainder. Therefore, the number 419 is not a factor of 436. All numbers except 419 are factors of 436.
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Example 4: Find the product of all the prime factors of 436.
Solution:
Since, the prime factors of 436 are 2, 109. Therefore, the product of prime factors = 2 × 109 = 218.
FAQs on Factors of 436
What are the Factors of 436?
The factors of 436 are 1, 2, 4, 109, 218, 436 and its negative factors are -1, -2, -4, -109, -218, -436.
What is the Sum of all the Factors of 436?
All the Factors of 436 are 1, 2, 4, 109, 218, 436 and therefore the sum of all these factors is 1 + 2 + 4 + 109 + 218 + 436 = 770
What numbers are the Pair Factors of 436?
The pair factors of 436 are (1, 436), (2, 218), (4, 109).
What is the Greatest Common Factor of 436 and 194?
The factors of 436 and 194 are 1, 2, 4, 109, 218, 436 and 1, 2, 97, 194 respectively.
Common factors of 436 and 194 are [1, 2].
Hence, the GCF of 436 and 194 is 2.
How Many Factors of 188 are also common to the Factors of 436?
Since, the factors of 436 are 1, 2, 4, 109, 218, 436 and the factors of 188 are 1, 2, 4, 47, 94, 188.
Hence, [1, 2, 4] are the common factors of 436 and 188.
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