# Factors of 1007

Factors of 1007 are 1, 19, 53, and 1007

#### How to find factors of a number

 1.   Find factors of 1007 using Division Method 2.   Find factors of 1007 using Prime Factorization 3.   Find factors of 1007 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1007

• Divide 1007 by 1: 1007 ÷ 1 : Remainder = 0
• Divide 1007 by 19: 1007 ÷ 19 : Remainder = 0
• Divide 1007 by 53: 1007 ÷ 53 : Remainder = 0
• Divide 1007 by 1007: 1007 ÷ 1007 : Remainder = 0

Hence, Factors of 1007 are 1, 19, 53, and 1007

#### 2. Steps to find factors of 1007 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 1007 using the division method, follow these steps:

• Step 1. Start dividing 1007 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 1007, which is 19. Divide 1007 by 19 to obtain the quotient (53).
1007 ÷ 19 = 53
• Step 3. Repeat step 1 with the obtained quotient (53).
53 ÷ 53 = 1

So, the prime factorization of 1007 is, 1007 = 19 x 53.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1007 as shown below:

So, the prime factorization of 1007 is, 1007 = 19 x 53.

#### 3. Find factors of 1007 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 1007 would be the two numbers which, when multiplied, give 1007 as the result.

The following table represents the calculation of factors of 1007 in pairs:

Factor Pair Pair Factorization
1 and 1007 1 x 1007 = 1007
19 and 53 19 x 53 = 1007

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 1007. They are called negative pair factors.

Hence, the negative pairs of 1007 would be ( -1 , -1007 ) , ( -19 , -53 ) .

#### 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

• Every number is a factor of zero (0), since 1007 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, 19, 53, 1007 are exact divisors of 1007.
• Factors of 1007 are 1, 19, 53, 1007. Each factor divides 1007 without leaving a remainder.

• What is prime factorization of 1007?

Prime factorization of 1007 is 19 x 53.

• How do you find factors of a negative number? ( eg. -1007 )?

Factors of -1007 are -1, -19, -53, -1007.

• What are the prime factors of 1007?

The factors of 1007 are 1, 19, 53, 1007.
Prime factors of 1007 are 19, 53.

• What are pair factors of 1007?

The pair factors of 1007 are (1,1007), (19,53).

• What is the greatest prime factors of 1007?

The greatest prime factor of 1007 is 53.

• What are six multiples of 1007?

First five multiples of 1007 are 2014, 3021, 4028, 5035, 6042, 7049.

• What are factors of 1007?

Factors of 1007 are 1, 19, 53, 1007.

• Which is the smallest prime factor of 1007?

Smallest prime factor of 1007 is 19.

• Is 1007 a whole number?

Yes 1007 is a whole number.

#### Examples of Factors

Kevin has been asked to write 3 factor(s) of 1007. Can you predict the answer?

3 factor(s) of 1007 are 1, 19, 53.

Sammy is puzzled while calculating the prime factors of 1007. Can you help him find them?

Factors of 1007 are 1, 19, 53, 1007.
Prime factors of 1007 are 19, 53

What is prime factorization of 1007?

Prime factorization of 1007 is 19 x 53 = 19 x 53.

Ariel has been assigned the task to find the product of all the prime factors of 1007. Can you help her?

Prime factors of 1007 are 19, 53.
Hence, the product of prime factors of 1007.

Can you help Rubel to find out the product of the even factors of 1007?

Factors of 1007 are 1, 19, 53, 1007.
Even factors of 1007 are 0.
Hence, product of even factors of 1007 is; 0 = 0.

Joy wants to calculate mean of all the factors of 1007. Help him in finding the mean of 1007.

Factors of 1007 are 1, 19, 53, 1007.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1007 is 1 + 19 + 53 + 1007 = 1080.
Hence, the mean of factors of 1007 is 1080 ÷ 4 = 270.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1007? Help her in writing all the factors.

Positive factors are 1, 19, 53, 1007.
Negative factors are -1, -19, -53, -1007.