Q: What are the prime factors of the number 120,536,598?

 A: 2, 3, 7, 13, 257, 859

Why are those the prime factors of the number 120,536,598?

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 120,536,598

120,536,598
Factor Arrows
260,268,299
Factor Arrows
320,089,433
Factor Arrows
72,869,919
Factor Arrows
13220,763
Factor Arrows
257859

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, 13, 257, 859

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 13 x 257 x 859 = 120,536,598

This can also be written as 21 x 31 x 71 x 131 x 2571 x 8591 = 120,536,598

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


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