How to find the factors of number 49? Is 49 a prime or a composit number?
asked in Basic Math by expert

1 Answer

The number 49 has 3 factors.

The factors of 49 are: 49, 7, 1

The square root of 49 rounded up to the nearest integer is 7. This is the limit to test our divisions because any number greater than 7 times 7 is greater than 49. So, we stop at 7.

Let's test the values 1 through 7 for division into 49.

  • 49÷1 = 49. Remainder = 0. So, 49 and 1 are factors.
  • 49÷2 = 24. Remainder = 1. So, 24 isn't a factor.
  • 49÷3 = 16. Remainder = 1. So, 16 isn't a factor.
  • 49÷4 = 12. Remainder = 1. So, 12 isn't a factor.
  • 49÷5 = 9. Remainder = 4. So, 9 isn't a factor.
  • 49÷6 = 8. Remainder = 1. So, 8 isn't a factor.
  • 49÷7 = 7. Remainder = 0. So, 7 and 7 are factors.

Factors of a number n are numbers that can divide n without remainder, ie, remainder = 0. So, choosing only the numbers that meet this criteria from the list above, we find that the numbers which divide 49 (including 49) with no remainder are: 49, 7, 1.

So, the factors of the number 49 are: 49, 7, 1.

A composite number has more than two factors. A prime number has only two factors: 1 and itself. The number 1 is neither prime nor composite.

Because the number 49 has 3 factors, it is termed a composite number in mathematics.

As 49 is a composite number, we can factorize it, ie, express it in prime Factors as follows.

By factorizing 49 we get: 49 = 7 × 7.

Ie, 49 can be expressed as a product (factor string) of prime numbers (7 × 7).

49 is not integer! Accepted values: 1, 2, 3, 4, ...

answered by questiun