Q: What are the prime factors of the number 134,433,850?

 A: 2, 5, 23, 29, 139

Why are those the prime factors of the number 134,433,850?

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 134,433,850

134,433,850
Factor Arrows
267,216,925
Factor Arrows
513,443,385
Factor Arrows
52,688,677
Factor Arrows
23116,899
Factor Arrows
294,031
Factor Arrows
29139

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, 23, 29, 139

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 23 x 29 x 29 x 139 = 134,433,850

This can also be written as 21 x 52 x 231 x 292 x 1391 = 134,433,850

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


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