Respuesta :

Answer: 2 · 2 · 2 · 5

Step-by-step explanation: To find the prime factorization of 40, first create a factor tree with two branches.

Since 40 ÷ 10 = 4, we know that 10 and 4 are factors of 40 so we write 4 and 10 at the bottom of our branches.

Since 10 ÷ 2 = 5, we know that 2 and 5 are factors of 10 so we write 2 and 5 at the bottom of our branches. Now, the number 2 is prime so we can't really come up with anything else to multiply together and 5 is prime because the only thing that will work is 1 · 5 so that's done. Now for 4, we can break down that into 2 · 2 and we already said that they are prime.

Now we multiply our prime factors together and we should get 40.

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