Prime Factorization of 980

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Prime Factors of

What is the Prime Factorization of 980?

Answer: Prime Factors of 980: 2, 2, 5, 7, 7

or

22 × 5 × 72

Explanation of number 980 Prime Factorization

Prime Factorization of 980 it is expressing 980 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 980.

Since number 980 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 980, we have to iteratively divide 980 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 980:

The smallest Prime Number which can divide 980 without a remainder is 2. So the first calculation step would look like:

980 ÷ 2 = 490

Now we repeat this action until the result equals 1:

490 ÷ 2 = 245

245 ÷ 5 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 980. It is: 2, 2, 5, 7, 7

Or you may also write it in exponential form: 22 × 5 × 72

Prime Factor Tree of 980

We may also express the prime factorization of 980 as a Factor Tree:

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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 980? (The answer is: 2, 2, 5, 7, 7). Pick the number for factorization (e.g. '980'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

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Prime Factors of

Prime Factorization Table

NumberPrime Factors
9655, 193
9662, 3, 7, 23
967967
96823 × 112
9693, 17, 19
9702, 5, 97
971971
97222 × 35
9737, 139
9742, 487
9753 × 52 × 13
97624 × 61
977977
9782, 3, 163
97911, 89
98022 × 5 × 72
98132 × 109
9822, 491
983983
98423 × 3 × 41
9855, 197
9862, 17, 29
9873, 7, 47
98822 × 13 × 19
98923, 43
9902 × 32 × 5 × 11
991991
99225 × 31
9933, 331
9942, 7, 71

FAQ

What is the Prime Factorization of 980?

Prime Factors of 980: 2, 2, 5, 7, 7

How many prime factors does 980 have?

Number 980 has 5 Prime Factors

What is the Prime Factorization of 980 in exponential form?

The Prime Factorization of the number 980 in the exponential form is: 22 × 5 × 72

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