Q: What are the prime factors of the number 619,452?

 A: 2, 3, 17207

Why are those the prime factors of the number 619,452?

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 619,452

619,452
Factor Arrows
2309,726
Factor Arrows
2154,863
Factor Arrows
351,621
Factor Arrows
317,207

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, 17207

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 17,207 = 619,452

This can also be written as 22 x 32 x 17,2071 = 619,452

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


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