Q: What are the prime factors of the number 54,421,228?

 A: 2, 37, 367711

Why are those the prime factors of the number 54,421,228?

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 54,421,228

54,421,228
Factor Arrows
227,210,614
Factor Arrows
213,605,307
Factor Arrows
37367,711

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, 37, 367711

We can check our work by multiplying all of the prime factors together: 2 x 2 x 37 x 367,711 = 54,421,228

This can also be written as 22 x 371 x 367,7111 = 54,421,228

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


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