Q: What are the prime factors of the number 484,731,174?

 A: 2, 3, 43, 1878803

Why are those the prime factors of the number 484,731,174?

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 484,731,174

484,731,174
Factor Arrows
2242,365,587
Factor Arrows
380,788,529
Factor Arrows
431,878,803

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, 43, 1878803

We can check our work by multiplying all of the prime factors together: 2 x 3 x 43 x 1,878,803 = 484,731,174

This can also be written as 21 x 31 x 431 x 1,878,8031 = 484,731,174

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


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