Factors of 1632

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Factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, and 1632

How to find factors of a number

1. Steps to find factors of 1632 using Division Method

Find all the numbers which can divide 1632 without leaving any remainder, starting from number 1 upto 816 (half of 1632). The number 1 and the number (1632) itself are always factors of the given number (1632).
Note down all such number. All of those numbers are factors of 1632.

Example: Find factors of 1632

Divide 1632 by 1: 1632 ÷ 1 : Remainder = 0
Divide 1632 by 2: 1632 ÷ 2 : Remainder = 0
Divide 1632 by 3: 1632 ÷ 3 : Remainder = 0
Divide 1632 by 4: 1632 ÷ 4 : Remainder = 0
Divide 1632 by 6: 1632 ÷ 6 : Remainder = 0
Divide 1632 by 8: 1632 ÷ 8 : Remainder = 0
Divide 1632 by 12: 1632 ÷ 12 : Remainder = 0
Divide 1632 by 16: 1632 ÷ 16 : Remainder = 0
Divide 1632 by 17: 1632 ÷ 17 : Remainder = 0
Divide 1632 by 24: 1632 ÷ 24 : Remainder = 0
Divide 1632 by 32: 1632 ÷ 32 : Remainder = 0
Divide 1632 by 34: 1632 ÷ 34 : Remainder = 0
Divide 1632 by 48: 1632 ÷ 48 : Remainder = 0
Divide 1632 by 51: 1632 ÷ 51 : Remainder = 0
Divide 1632 by 68: 1632 ÷ 68 : Remainder = 0
Divide 1632 by 96: 1632 ÷ 96 : Remainder = 0
Divide 1632 by 102: 1632 ÷ 102 : Remainder = 0
Divide 1632 by 136: 1632 ÷ 136 : Remainder = 0
Divide 1632 by 204: 1632 ÷ 204 : Remainder = 0
Divide 1632 by 272: 1632 ÷ 272 : Remainder = 0
Divide 1632 by 408: 1632 ÷ 408 : Remainder = 0
Divide 1632 by 544: 1632 ÷ 544 : Remainder = 0
Divide 1632 by 816: 1632 ÷ 816 : Remainder = 0
Divide 1632 by 1632: 1632 ÷ 1632 : Remainder = 0

Hence, Factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, and 1632

2. Steps to find factors of 1632 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 1632 using the division method, follow these steps:

Step 1. Start dividing 1632 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 1632, which is 2. Divide 1632 by 2 to obtain the quotient (816).
1632 ÷ 2 = 816
Step 3. Repeat step 1 with the obtained quotient (816).
816 ÷ 2 = 408

408 ÷ 2 = 204

204 ÷ 2 = 102

102 ÷ 2 = 51

51 ÷ 3 = 17

17 ÷ 17 = 1

So, the prime factorization of 1632 is, 1632 = 2 x 2 x 2 x 2 x 2 x 3 x 17.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1632 as shown below:

So, the prime factorization of 1632 is, 1632 = 2 x 2 x 2 x 2 x 2 x 3 x 17.

3. Find factors of 1632 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 1632 would be the two numbers which, when multiplied, give 1632 as the result.

The following table represents the calculation of factors of 1632 in pairs:

Factor Pair	Pair Factorization
1 and 1632	1 x 1632 = 1632
2 and 816	2 x 816 = 1632
3 and 544	3 x 544 = 1632
4 and 408	4 x 408 = 1632
6 and 272	6 x 272 = 1632
8 and 204	8 x 204 = 1632
12 and 136	12 x 136 = 1632
16 and 102	16 x 102 = 1632
17 and 96	17 x 96 = 1632
24 and 68	24 x 68 = 1632
32 and 51	32 x 51 = 1632
34 and 48	34 x 48 = 1632

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 1632. They are called negative pair factors.

Hence, the negative pairs of 1632 would be ( -1 , -1632 ) , ( -2 , -816 ) , ( -3 , -544 ) , ( -4 , -408 ) , ( -6 , -272 ) , ( -8 , -204 ) , ( -12 , -136 ) , ( -16 , -102 ) , ( -17 , -96 ) , ( -24 , -68 ) , ( -32 , -51 ) and ( -34 , -48 ) .

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. 1632 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 1632.
Every number is a factor of zero (0), since 1632 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, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632 are exact divisors of 1632.
Factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632. Each factor divides 1632 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632 are all less than or equal to 1632.

Frequently Asked Questions

What are the prime factors of 1632?
The factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632.
Prime factors of 1632 are 2, 2, 2, 2, 2, 3, 17.
What two numbers make 1632?
Two numbers that make 1632 are 2 and 816.
What is the greatest prime factors of 1632?
The greatest prime factor of 1632 is 17.
What are factors of 1632?
Factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632.
How do you find factors of a negative number? ( eg. -1632 )?
Factors of -1632 are -1, -2, -3, -4, -6, -8, -12, -16, -17, -24, -32, -34, -48, -51, -68, -96, -102, -136, -204, -272, -408, -544, -816, -1632.
What are five multiples of 1632?
First five multiples of 1632 are 3264, 4896, 6528, 8160, 9792.
Write some multiples of 1632?
First five multiples of 1632 are 3264, 4896, 6528, 8160.
Is 1632 a perfect square?
No 1632 is not a perfect square.
What two numbers make 1632?
Two numbers that make 1632 are 2 and 816.

Examples of Factors

What is prime factorization of 1632?

Prime factorization of 1632 is 2 x 2 x 2 x 2 x 2 x 3 x 17 = 2⁵ x 3 x 17.

Sammy is puzzled while calculating the prime factors of 1632. Can you help him find them?

Factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632.
Prime factors of 1632 are 2, 2, 2, 2, 2, 3, 17

Kevin has been asked to write 23 factor(s) of 1632. Can you predict the answer?

23 factor(s) of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816.

Joey wants to write all the prime factors of 1632 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1632 are 2, 2, 2, 2, 2, 3, 17.
So in exponential form it can be written as 2⁵ x 3 x 17.

How many factors are there for 1632?

Factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632.
So there are in total 24 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1632? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632.
Negative factors are -1, -2, -3, -4, -6, -8, -12, -16, -17, -24, -32, -34, -48, -51, -68, -96, -102, -136, -204, -272, -408, -544, -816, -1632.

Can you help Rubel to find out the product of the even factors of 1632?

Factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632.
Even factors of 1632 are 2, 4, 6, 8, 12, 16, 24, 32, 34, 48, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632.
Hence, product of even factors of 1632 is; 2 x 4 x 6 x 8 x 12 x 16 x 24 x 32 x 34 x 48 x 68 x 96 x 102 x 136 x 204 x 272 x 408 x 544 x 816 x 1632 = 1.3724657039137756e+35.