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Tyrese is looking for all the factors of 156. So far, Tyrese has divided 156 by all the counting numbers from 1 to 13 and listed the divisors and their corresponding quotients.

Here is Tyrese's work so far: 1, 2, 3, 4, 6, 12, 13.

Should Tyrese keep checking to see if numbers larger than 13 divide 156, or can Tyrese stop dividing at this point? If so, why?

What are all the factors of 156?

Answer :

Step-by-step explanation:

let's do a prime factor analysis :

156 ÷ 2 = 78

78 ÷ 2 = 39

39 ÷ 2 no

39 ÷ 3 = 13

13 ÷ 3 no

13 ÷ 5 no

13 ÷ 7 no

13 ÷ 11 no

13 ÷ 13 = 1 finished

therefore,

156 = 2×2×3×13

1 and 156 are default factors (1 and the number itself are factors for every number).

all the other factors are combinations of these prime factors :

2×2 = 4

2×3 = 6

2×2×3 = 12

2×13 = 26

2×2×13 = 52

3×13 = 39

2×3×13 = 78

so, no he should not stop there, he has to include also the quotients as factors, and overall find all the prime factor combinations.

all the factors are

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Thanks for taking the time to read Tyrese is looking for all the factors of 156 So far Tyrese has divided 156 by all the counting numbers from 1 to 13 and. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada