Q: What are the prime factors of the number 101,134,046?

 A: 2, 13, 107, 36353

Why are those the prime factors of the number 101,134,046?

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 101,134,046

101,134,046
Factor Arrows
250,567,023
Factor Arrows
133,889,771
Factor Arrows
10736,353

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, 107, 36353

We can check our work by multiplying all of the prime factors together: 2 x 13 x 107 x 36,353 = 101,134,046

This can also be written as 21 x 131 x 1071 x 36,3531 = 101,134,046

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


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