Question

The number 42 has the prime factorization 2 · 3 · 7. Thus, 42 can be written in four ways as a product of two positive integer factors (without regard to the order of the factors): 1 · 42, 2 · 21, 3 · 14, and 6 · 7. Answer a–d below without regard to the order of the factors. (a) List the distinct ways the number "858" can be written as a product of two positive integer factors. (Enter your answer as a comma-separated list of products.)

Answer 1

Answer:

$1 * 858,\ 2 * 429,\ 3 * 286,\ 11 * 78,\ 13 * 66,\ 6 * 143,\ 22 * 39,\ 26 * 33$

Step-by-step explanation:

Given:

$Number = 858$

Required

List all its distinct product of two numbers

First, we list out the prime factors of the given number.

We have:

$Number = 2 * 3 * 11 * 13$

So, the possible products are:

(1) 1 and the integer itself.

$1 * 858 = 858$

(2) 1 prime factor and the product of other primer factors

$2 * 429 = 858$

$3 * 286 = 858$

$11 * 78 = 858$

$13 * 66 = 858$

(3) A pair of prime factors and the product of remaining primer factors

$6 * 143 = 858$

$22 * 39 = 858$

$26*33 = 858$

Hence, the list are:

$1 * 858,\ 2 * 429,\ 3 * 286,\ 11 * 78,\ 13 * 66,\ 6 * 143,\ 22 * 39,\ 26 * 33$