Q: What are the prime factors of the number 134,740,600?

 A: 2, 5, 719, 937

Why are those the prime factors of the number 134,740,600?

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 134,740,600

134,740,600
Factor Arrows
267,370,300
Factor Arrows
233,685,150
Factor Arrows
216,842,575
Factor Arrows
53,368,515
Factor Arrows
5673,703
Factor Arrows
719937

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, 719, 937

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 719 x 937 = 134,740,600

This can also be written as 23 x 52 x 7191 x 9371 = 134,740,600

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


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