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How do you find the factors of 54204?

Updated: 4/28/2022
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5y ago

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Start with the prime factorization.

In Exponential Form: 2^2 x 3^1 x 4517^1

Adding one to the exponents and multiplying gives you the number of factors.

3 x 2 x 2 = 12

54204 has twelve factors. All we need to find is 6. Dividing them into 54204 will give us the other 6.

Apply what you know about the rules of divisibility.

1 is because 1 always is.

2 is because it's even.

3 is because the digits add up to a multiple of 3.

4 is because the last two digits are a multiple of 4.

6 is because 2 and 3 are.

That leaves one to find. We know 4517 is a factor from the prime factorization. Dividing that into 54204 gives us 12. That's all of them.

All Factors of 54204: 1, 2, 3, 4, 6, 12, 4517, 9034, 13551, 18068, 27102, 54204

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Q: How do you find the factors of 54204?
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What are the factors of 54204?

54,204 is a composite number; it has factors other than 1 and itself.The factors of 54,204 are 1, 2, 3, 4, 6, 12, 4517, 9034, 13551, 18068, 27102, and 54204.The factor pairs of 54,204 are 1 x 54204, 2 x 27102, 3 x 18068, 4 x 13551, 6 x 9035, and 12 x 4517.The proper factors of 54,204 are 1, 2, 3, 4, 6, 12, 4517, 9034, 13551, 18068, and 27102 or,if the definition you are using excludes 1, they are 2, 3, 4, 6, 12, 4517, 9034, 13551, 18068, and 27102.The prime factors of 54,204 are 2, 2, 3, 4517. Note: There is repetition of these factors, so if the prime factors are being listed instead of the prime factorization, usually only the distinct prime factors are listed.The distinct prime factors of 54,204 are 2, 3, 4517.The prime factorization of 54,204 is 2 x 2 x 3 x 4517 or, in exponential form, 22 x 3 x 4517.


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