Q: What are the prime factors of the number 134,340,734?

 A: 2, 11, 181, 3067

Why are those the prime factors of the number 134,340,734?

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 134,340,734

134,340,734
Factor Arrows
267,170,367
Factor Arrows
116,106,397
Factor Arrows
11555,127
Factor Arrows
1813,067

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, 181, 3067

We can check our work by multiplying all of the prime factors together: 2 x 11 x 11 x 181 x 3,067 = 134,340,734

This can also be written as 21 x 112 x 1811 x 3,0671 = 134,340,734

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


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