Q: What are the prime factors of the number 425,672,770?

 A: 2, 5, 19, 881, 2543

Why are those the prime factors of the number 425,672,770?

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 425,672,770

425,672,770
Factor Arrows
2212,836,385
Factor Arrows
542,567,277
Factor Arrows
192,240,383
Factor Arrows
8812,543

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, 19, 881, 2543

We can check our work by multiplying all of the prime factors together: 2 x 5 x 19 x 881 x 2,543 = 425,672,770

This can also be written as 21 x 51 x 191 x 8811 x 2,5431 = 425,672,770

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


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