Q: What are the prime factors of the number 54,230,265?

 A: 3, 5, 1205117

Why are those the prime factors of the number 54,230,265?

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 54,230,265

54,230,265
Factor Arrows
318,076,755
Factor Arrows
36,025,585
Factor Arrows
51,205,117

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:

3, 5, 1205117

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 1,205,117 = 54,230,265

This can also be written as 32 x 51 x 1,205,1171 = 54,230,265

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


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