Q: What are the prime factors of the number 54,520,014?

 A: 2, 3, 97, 113, 829

Why are those the prime factors of the number 54,520,014?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 54,520,014

54,520,014
Factor Arrows
227,260,007
Factor Arrows
39,086,669
Factor Arrows
9793,677
Factor Arrows
113829

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 97, 113, 829

We can check our work by multiplying all of the prime factors together: 2 x 3 x 97 x 113 x 829 = 54,520,014

This can also be written as 21 x 31 x 971 x 1131 x 8291 = 54,520,014

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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