# Write 850 as the product of its prime factors?

A. 17 × 50

didnt realise it was multiple choice!

only option is B as the others contain numbers that are divisible by several factors

B. 2 × 5 × 5 × 17
2 * 5 = 10
10 * 5 = 50
70*17=850

850 ÷ 2
= 425

425 ÷ 5
= 85

85 ÷ 5
= 17

∴ 850 = 2 x 5 x 5 x 17

if you look at the choices, you will find that in A, C, and D you will find you will find factors that are not prime (50, 10, 10) therefore, the correct answer would be B. also, you could use a factor tree:

850
17×50
17x2x25
17x2x5x5 which is the same as 2 x 5 x 5 x 17

**if you ever have to write the prime factorization in exponenets, it would be:
2 x 5^2 x 17

A prime factor is a number that can’t be divided by anything other than 1 and itself to get a whole number.

Tip: Any even number except 2 can be reduced by dividing by 2, so 50 and 10 can’t be prime factors, eliminating A and D as possibilities.

Tip: Any number greater than 5 that ends with a 5 or a 0 can be divided by 5, so 85 can’t be a prime factor.

So B.