Q: What are the prime factors of the number 190,490?

 A: 2, 5, 43, 443

Why are those the prime factors of the number 190,490?

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 190,490

190,490
Factor Arrows
295,245
Factor Arrows
519,049
Factor Arrows
43443

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, 43, 443

We can check our work by multiplying all of the prime factors together: 2 x 5 x 43 x 443 = 190,490

This can also be written as 21 x 51 x 431 x 4431 = 190,490

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


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