Q: What are the prime factors of the number 54,658,142?

 A: 2, 7, 11, 97, 3659

Why are those the prime factors of the number 54,658,142?

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 54,658,142

54,658,142
Factor Arrows
227,329,071
Factor Arrows
73,904,153
Factor Arrows
11354,923
Factor Arrows
973,659

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, 7, 11, 97, 3659

We can check our work by multiplying all of the prime factors together: 2 x 7 x 11 x 97 x 3,659 = 54,658,142

This can also be written as 21 x 71 x 111 x 971 x 3,6591 = 54,658,142

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


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