Q: What are the prime factors of the number 340,062,476?

 A: 2, 13, 571, 881

Why are those the prime factors of the number 340,062,476?

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 340,062,476

340,062,476
Factor Arrows
2170,031,238
Factor Arrows
285,015,619
Factor Arrows
136,539,663
Factor Arrows
13503,051
Factor Arrows
571881

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, 13, 571, 881

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 13 x 571 x 881 = 340,062,476

This can also be written as 22 x 132 x 5711 x 8811 = 340,062,476

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


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