Prime Factorization of 140

What is the Prime Factorization of 140?

Answer: Prime Factors of 140: 2, 2, 5, 7

or

22 × 5 × 7

Explanation of number 140 Prime Factorization

Prime Factorization of 140 it is expressing 140 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 140.

Since number 140 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 140, we have to iteratively divide 140 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 140:

The smallest Prime Number which can divide 140 without a remainder is 2. So the first calculation step would look like:

140 ÷ 2 = 70

Now we repeat this action until the result equals 1:

70 ÷ 2 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 140. It is: 2, 2, 5, 7

Or you may also write it in exponential form: 22 × 5 × 7

Prime Factor Tree of 140

We may also express the prime factorization of 140 as a Factor Tree:

Prime factors of 140 factorization tree of 140

Prime Factorization Table

NumberPrime Factors
53
2 × 32 × 7
127
27
3, 43
2, 5, 13
131
22 × 3 × 11
7, 19
2, 67
33 × 5
23 × 17
137
2, 3, 23
139
22 × 5 × 7
3, 47
2, 71
11, 13
24 × 32
5, 29
2, 73
3 × 72
22 × 37
149
2 × 3 × 52
151
23 × 19
32 × 17
2, 7, 11

About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 140? (The answer is: 2, 2, 5, 7). Pick the number for factorization (e.g. '140'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 140?

Prime Factors of 140: 2, 2, 5, 7

How many prime factors does 140 have?

Number 140 has 4 Prime Factors

What is the Prime Factorization of 140 in exponential form?

The Prime Factorization of the number 140 in the exponential form is: 22 × 5 × 7