Q: What are the prime factors of the number 531,477,333?

 A: 3, 167, 353611

Why are those the prime factors of the number 531,477,333?

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 531,477,333

531,477,333
Factor Arrows
3177,159,111
Factor Arrows
359,053,037
Factor Arrows
167353,611

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, 167, 353611

We can check our work by multiplying all of the prime factors together: 3 x 3 x 167 x 353,611 = 531,477,333

This can also be written as 32 x 1671 x 353,6111 = 531,477,333

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


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