Factors of 124 are integers that can be divided evenly into 124. There are overall 6 factors of 124 among which 124 is the biggest factor and 1, 2, 4, 31, 62, 124 are positive factors. The Prime Factors and Pair Factors of 124 are 2 × 31 and (1, 124), (2, 62), (4, 31) respectively.

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**All Factors of 124:** 1, 2, 4, 31, 62 and 124 **Negative Factors of 124:** -1, -2, -4, -31, -62 and -124 **Prime Factors of 124:** 2, 31 **Prime Factorization of 124:** 22 × 311 **Sum of Factors of 124:** 224

1. | What Are the Factors of 124? |

2. | Factors of 124 by Prime Factorization |

3. | Factors of 124 in Pairs |

4. | FAQs on Factors of 124 |

## What are Factors of 124?

Factors of 124 are pairs of those numbers whose products result in 124. These factors are either prime numbers or composite numbers.

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### How to Find the Factors of 124?

To find the factors of 124, we will have to find the list of numbers that would divide 124 without leaving any remainder.

124/2 = 62; therefore, 2 is a factor of 124 and 62 is also a factor of 124.124/4 = 31; therefore, 4 is a factor of 124 and 31 is also a factor of 124. Similarly we can find other factors. Hence, the factors of 124 are 1, 2, 4, 31, 62, 124.

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## Factors of 124 by Prime Factorization

The number 124 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 124. The first step is to divide the number 124 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder. 124 ÷ 2 = 62 62 ÷ 2 = 31

Further dividing 31 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 31 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 124 can be written as 22 × 311 where 2, 31 are prime.

## Factors of 124 in Pairs

Pair factors of 124 are the pairs of numbers that when multiplied give the product 124. The factors of 124 in pairs are:

1 × 124 = (1, 124) 2 × 62 = (2, 62) 4 × 31 = (4, 31)

Negative pair factors of 124 are:

-1 × -124 = (-1, -124) -2 × -62 = (-2, -62) -4 × -31 = (-4, -31)

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

## Factors of 124 Solved Examples

**Example 1: How many factors are there for 124?**

**Solution:**

The factors of 124 are 1, 2, 4, 31, 62, 124. Therefore, 124 has 6 factors.

** Example 3: Find if 1, 31, 88 and 124 are factors of 124.**

**Solution:**

When we divide 124 by 88 it leaves a remainder. Therefore, the number 88 is not a factor of 124. All numbers except 88 are factors of 124.

** Example 4: Find the product of all the prime factors of 124.**

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**Solution:**

Since, the prime factors of 124 are 2, 31. Therefore, the product of prime factors = 2 × 31 = 62.

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## FAQs on Factors of 124

### What are the Factors of 124?

The factors of 124 are 1, 2, 4, 31, 62, 124 and its negative factors are -1, -2, -4, -31, -62, -124.

### What is the Sum of Factors of 124?

Since, all factors of 124 are 1, 2, 4, 31, 62, 124 therefore, the sum of its factors is 1 + 2 + 4 + 31 + 62 + 124 = 224.

### What are Pair Factors of 124?

The pair factors of 124 are (1, 124), (2, 62), (4, 31).

### What is the Greatest Common Factor of 124 and 62?

The factors of 124 and 62 are 1, 2, 4, 31, 62, 124 and 1, 2, 31, 62 respectively. Common factors of 124 and 62 are <1, 2, 31, 62>. Hence, the Greatest Common Factor (GCF) of 124 and 62 is 62.

### What are the Common Factors of 124 and 103?

Since, the factors of 124 are 1, 2, 4, 31, 62, 124 and factors of 103 are 1, 103. Hence, 124 and 103 have only one common factor which is 1. Therefore, 124 and 103 are co-prime.

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