# Factors of 372

Factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, and 372

#### How to find factors of a number

 1.   Find factors of 372 using Division Method 2.   Find factors of 372 using Prime Factorization 3.   Find factors of 372 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 372

• Divide 372 by 1: 372 ÷ 1 : Remainder = 0
• Divide 372 by 2: 372 ÷ 2 : Remainder = 0
• Divide 372 by 3: 372 ÷ 3 : Remainder = 0
• Divide 372 by 4: 372 ÷ 4 : Remainder = 0
• Divide 372 by 6: 372 ÷ 6 : Remainder = 0
• Divide 372 by 12: 372 ÷ 12 : Remainder = 0
• Divide 372 by 31: 372 ÷ 31 : Remainder = 0
• Divide 372 by 62: 372 ÷ 62 : Remainder = 0
• Divide 372 by 93: 372 ÷ 93 : Remainder = 0
• Divide 372 by 124: 372 ÷ 124 : Remainder = 0
• Divide 372 by 186: 372 ÷ 186 : Remainder = 0
• Divide 372 by 372: 372 ÷ 372 : Remainder = 0

Hence, Factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, and 372

#### 2. Steps to find factors of 372 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 372 using the division method, follow these steps:

• Step 1. Start dividing 372 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 372, which is 2. Divide 372 by 2 to obtain the quotient (186).
372 ÷ 2 = 186
• Step 3. Repeat step 1 with the obtained quotient (186).
186 ÷ 2 = 93
93 ÷ 3 = 31
31 ÷ 31 = 1

So, the prime factorization of 372 is, 372 = 2 x 2 x 3 x 31.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 372 as shown below:

So, the prime factorization of 372 is, 372 = 2 x 2 x 3 x 31.

#### 3. Find factors of 372 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 372 would be the two numbers which, when multiplied, give 372 as the result.

The following table represents the calculation of factors of 372 in pairs:

Factor Pair Pair Factorization
1 and 372 1 x 372 = 372
2 and 186 2 x 186 = 372
3 and 124 3 x 124 = 372
4 and 93 4 x 93 = 372
6 and 62 6 x 62 = 372
12 and 31 12 x 31 = 372

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 372. They are called negative pair factors.

Hence, the negative pairs of 372 would be ( -1 , -372 ) , ( -2 , -186 ) , ( -3 , -124 ) , ( -4 , -93 ) , ( -6 , -62 ) and ( -12 , -31 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 372 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 372.
• Every number is a factor of zero (0), since 372 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372 are exact divisors of 372.
• Factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372. Each factor divides 372 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372 are all less than or equal to 372.

• What are the prime factors of 372?

The factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372.
Prime factors of 372 are 2, 2, 3, 31.

• What two numbers make 372?

Two numbers that make 372 are 2 and 186.

• What is the greatest prime factors of 372?

The greatest prime factor of 372 is 31.

• What are factors of 372?

Factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372.

• How do you find factors of a negative number? ( eg. -372 )?

Factors of -372 are -1, -2, -3, -4, -6, -12, -31, -62, -93, -124, -186, -372.

• What are five multiples of 372?

First five multiples of 372 are 744, 1116, 1488, 1860, 2232.

• Write some multiples of 372?

First five multiples of 372 are 744, 1116, 1488, 1860.

• Is 372 a perfect square?

No 372 is not a perfect square.

• What two numbers make 372?

Two numbers that make 372 are 2 and 186.

#### Examples of Factors

What is prime factorization of 372?

Prime factorization of 372 is 2 x 2 x 3 x 31 = 22 x 3 x 31.

Sammy is puzzled while calculating the prime factors of 372. Can you help him find them?

Factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372.
Prime factors of 372 are 2, 2, 3, 31

Kevin has been asked to write 11 factor(s) of 372. Can you predict the answer?

11 factor(s) of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186.

Joey wants to write all the prime factors of 372 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 372 are 2, 2, 3, 31.
So in exponential form it can be written as 22 x 3 x 31.

How many factors are there for 372?

Factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372.
So there are in total 12 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 372? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372.
Negative factors are -1, -2, -3, -4, -6, -12, -31, -62, -93, -124, -186, -372.

Can you help Rubel to find out the product of the even factors of 372?

Factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372.
Even factors of 372 are 2, 4, 6, 12, 62, 124, 186, 372.
Hence, product of even factors of 372 is; 2 x 4 x 6 x 12 x 62 x 124 x 186 x 372 = 306402103296.