Q: What are the prime factors of the number 363,464,030?

 A: 2, 5, 239, 152077

Why are those the prime factors of the number 363,464,030?

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 363,464,030

363,464,030
Factor Arrows
2181,732,015
Factor Arrows
536,346,403
Factor Arrows
239152,077

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, 5, 239, 152077

We can check our work by multiplying all of the prime factors together: 2 x 5 x 239 x 152,077 = 363,464,030

This can also be written as 21 x 51 x 2391 x 152,0771 = 363,464,030

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


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