Q: What are the prime factors of the number 62,029,278?

 A: 2, 3, 103, 33457

Why are those the prime factors of the number 62,029,278?

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 62,029,278

62,029,278
Factor Arrows
231,014,639
Factor Arrows
310,338,213
Factor Arrows
33,446,071
Factor Arrows
10333,457

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, 103, 33457

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 103 x 33,457 = 62,029,278

This can also be written as 21 x 32 x 1031 x 33,4571 = 62,029,278

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


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