Question

Express 1400 as a product of its prime factors in index form

Answer 1

Answer:

$2^3 X5^2 X7$

Step-by-step explanation:

Given the number: 1400

A number is said to be prime when it can only be divided by 1 and itself.

We can express 1400 as a product of its prime numbers by gradually decomposing it into smaller units.

$1400=14X100\\14=2X7\\100=10X10=2X5X2X5\\ Therefore:\\1400=2 X 7 X 2 X 5 X 5 X 5\\Reorganising\\1400=2 X 2 X 2 X 5 X 5 X 7\\Therefore, 1400 expressed as a product of its prime factors is:\\1400=2^3 X5^2 X7$