Q: What are the prime factors of the number 134,250,560?

 A: 2, 5, 281, 1493

Why are those the prime factors of the number 134,250,560?

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 134,250,560

134,250,560
Factor Arrows
267,125,280
Factor Arrows
233,562,640
Factor Arrows
216,781,320
Factor Arrows
28,390,660
Factor Arrows
24,195,330
Factor Arrows
22,097,665
Factor Arrows
5419,533
Factor Arrows
2811,493

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, 1493

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 281 x 1,493 = 134,250,560

This can also be written as 26 x 51 x 2811 x 1,4931 = 134,250,560

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


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