Q: What are the prime factors of the number 342,103,300?

 A: 2, 5, 7, 11, 577

Why are those the prime factors of the number 342,103,300?

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 342,103,300

342,103,300
Factor Arrows
2171,051,650
Factor Arrows
285,525,825
Factor Arrows
517,105,165
Factor Arrows
53,421,033
Factor Arrows
7488,719
Factor Arrows
769,817
Factor Arrows
116,347
Factor Arrows
11577

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, 5, 7, 11, 577

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 7 x 7 x 11 x 11 x 577 = 342,103,300

This can also be written as 22 x 52 x 72 x 112 x 5771 = 342,103,300

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


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