Q: What are the prime factors of the number 160,052,560?

 A: 2, 5, 809, 2473

Why are those the prime factors of the number 160,052,560?

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 160,052,560

160,052,560
Factor Arrows
280,026,280
Factor Arrows
240,013,140
Factor Arrows
220,006,570
Factor Arrows
210,003,285
Factor Arrows
52,000,657
Factor Arrows
8092,473

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, 809, 2473

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 809 x 2,473 = 160,052,560

This can also be written as 24 x 51 x 8091 x 2,4731 = 160,052,560

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


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