Q: What are the prime factors of the number 119,044,842?

 A: 2, 3, 7, 19, 241, 619

Why are those the prime factors of the number 119,044,842?

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 119,044,842

119,044,842
Factor Arrows
259,522,421
Factor Arrows
319,840,807
Factor Arrows
72,834,401
Factor Arrows
19149,179
Factor Arrows
241619

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, 7, 19, 241, 619

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 19 x 241 x 619 = 119,044,842

This can also be written as 21 x 31 x 71 x 191 x 2411 x 6191 = 119,044,842

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


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