Q: What are the prime factors of the number 76,340,594?

 A: 2, 11, 19, 16603

Why are those the prime factors of the number 76,340,594?

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 76,340,594

76,340,594
Factor Arrows
238,170,297
Factor Arrows
113,470,027
Factor Arrows
11315,457
Factor Arrows
1916,603

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, 11, 19, 16603

We can check our work by multiplying all of the prime factors together: 2 x 11 x 11 x 19 x 16,603 = 76,340,594

This can also be written as 21 x 112 x 191 x 16,6031 = 76,340,594

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


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