Q: What are the prime factors of the number 134,253,370?

 A: 2, 5, 281, 47777

Why are those the prime factors of the number 134,253,370?

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 134,253,370

134,253,370
Factor Arrows
267,126,685
Factor Arrows
513,425,337
Factor Arrows
28147,777

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, 281, 47777

We can check our work by multiplying all of the prime factors together: 2 x 5 x 281 x 47,777 = 134,253,370

This can also be written as 21 x 51 x 2811 x 47,7771 = 134,253,370

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


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