Q: What are the prime factors of the number 160,649,079?

 A: 3, 37, 263, 5503

Why are those the prime factors of the number 160,649,079?

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 160,649,079

160,649,079
Factor Arrows
353,549,693
Factor Arrows
371,447,289
Factor Arrows
2635,503

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:

3, 37, 263, 5503

We can check our work by multiplying all of the prime factors together: 3 x 37 x 263 x 5,503 = 160,649,079

This can also be written as 31 x 371 x 2631 x 5,5031 = 160,649,079

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


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