Prime Factorization of 490

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Prime Factors of

What is the Prime Factorization of 490?

Answer: Prime Factors of 490: 2, 5, 7, 7

or

2 × 5 × 72

Explanation of number 490 Prime Factorization

Prime Factorization of 490 it is expressing 490 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 490.

Since number 490 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 490, we have to iteratively divide 490 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 490:

The smallest Prime Number which can divide 490 without a remainder is 2. So the first calculation step would look like:

490 ÷ 2 = 245

Now we repeat this action until the result equals 1:

245 ÷ 5 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 490. It is: 2, 5, 7, 7

Or you may also write it in exponential form: 2 × 5 × 72

Prime Factor Tree of 490

We may also express the prime factorization of 490 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 490? (The answer is: 2, 5, 7, 7). Pick the number for factorization (e.g. '490'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
47552 × 19
47622 × 7 × 17
47732 × 53
4782, 239
479479
48025 × 3 × 5
48113, 37
4822, 241
4833, 7, 23
48422 × 112
4855, 97
4862 × 35
487487
48823 × 61
4893, 163
4902 × 5 × 72
491491
49222 × 3 × 41
49317, 29
4942, 13, 19
49532 × 5 × 11
49624 × 31
4977, 71
4982, 3, 83
499499
50022 × 53
5013, 167
5022, 251
503503
50423 × 32 × 7

FAQ

What is the Prime Factorization of 490?

Prime Factors of 490: 2, 5, 7, 7

How many prime factors does 490 have?

Number 490 has 4 Prime Factors

What is the Prime Factorization of 490 in exponential form?

The Prime Factorization of the number 490 in the exponential form is: 2 × 5 × 72

See Also