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Express 56 as the product of its prime factors. - Edexcel - GCSE Maths - Question 2 - 2017 - Paper 1

Question 2

Express 56 as the product of its prime factors.

Worked Solution & Example Answer:Express 56 as the product of its prime factors. - Edexcel - GCSE Maths - Question 2 - 2017 - Paper 1

Step 1

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Answer

To express 56 as the product of its prime factors, we begin by dividing 56 by the smallest prime number, which is 2.

When we divide:

$56 \, \div \, 2 = 28$

Next, we continue factoring 28:

$28 \, \div \, 2 = 14$

We factor again:

$14 \, \div \, 2 = 7$

Since 7 is a prime number, we stop here.

Step 2

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Answer

Now that we have identified all prime factors, we express 56 as:

$56 = 2^3 \times 7$

This indicates that 56 can be represented as the product of its prime factors, consisting of three 2s and one 7.

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