Question

1, 2, 4 and 8 are factors of which number?

Answer 1

8 is the right answer

Answer 2

The number is 8

Step-by-step explanation:

Factors are those numbers which we can multiply to get the number. They contain 1, the number itself and other integers. They are also called the divisors of the integers.

For example, 2 $\times$ 3 = 6

1, 2 and 3 are the factors of 6.

Also, (-2) $\times$ (-3) = 6

-2, -3 are also the factors of 6.

1 is a factor of all the integers.

Factors are different from multiples.

Multiples are those numbers obtained after multiplying the number with integers.  

For example, 10, 15, 20, 25….. are the multiples of 5

Also, ………., -25, -20, -15, -10, -5, 0, …. Are also the multiples of 5.

In the given problem, 1, 2, 4, 8 are the factors.

Let us consider the LCM which is the least common multiple for all the above numbers to get the actual number.

2 |1, 2, 4, 8|

2 |1, 1, 2, 4|  

2 |1, 1, 1, 2|

  |1, 1, 1, 1|

$LCM = 2 \times 2 \times 2 = 8$

Therefore, 1, 2, 4, and 8 are the factors of 8.