Q: What are the prime factors of the number 122,103,846?

 A: 2, 3, 691, 9817

Why are those the prime factors of the number 122,103,846?

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 122,103,846

122,103,846
Factor Arrows
261,051,923
Factor Arrows
320,350,641
Factor Arrows
36,783,547
Factor Arrows
6919,817

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, 691, 9817

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 691 x 9,817 = 122,103,846

This can also be written as 21 x 32 x 6911 x 9,8171 = 122,103,846

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


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