Factors Of 49

Factors of 49 are the numbers, which results in the original number when multiplied together in pairs. Or we can say, factors are the numbers, which gives zero as the remainder when we divide 49 by them. Since, 49 is a composite number, it has more than 2 factors. Some more examples of composite numbers are, 18, 42, 60, 35, 9, 50, 33, etc. As we know, prime number such as 11, 19, etc. have only two factors, 1 and the number itself. Prime factorisation of 49 will result in prime numbers. To find the factors of a number, 49, read the complete article.

Factors of 49

Factors Of 49 in Pairs

We can find the pair factors, by multiplying two numbers in a pair to get the original number as 49, such as;

1 × 49 = 49

7 × 7 = 49

Therefore, the factors in pairs of number 49 are (1, 49) and (7, 7).

Factors Of 49
1, 7 and 49

Prime Factorization of 49

The number 49 is a composite number. Now let us find the prime factors of it.

  • The first step is to divide the number 49 with the smallest prime factor,i.e. 2.

49 ÷ 2 = 24.5; is a fraction.

          Therefore, 2 is not a prime factor of 49.

  • Similarly, proceed to the next prime numbers, i.e. 3, 5, 7 and so on.

49 ÷ 3 = 16.33; not a factor. Move to next prime number, 5.

  • Dividing 49 by 5 we get,

49 ÷ 5 = 9.5; again a fraction.

          Divide 49 by 7 now.

49 ÷ 7 = 7

          Again. Divide by 7.

7 ÷ 7 = 1

  • We have received 1 at the end and further, we cannot proceed with the division method. prime factorisation of 49 are 7 × 7 or 72, where 7 is the prime number.

Stay tuned and learn more about factors and prime factors here with us in BYJU’S and also download BYJU’S – The Learning App for a better experience and get video content to study and understand the concepts.

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