Q: What are the prime factors of the number 160,620,570?

 A: 2, 3, 5, 11, 2003

Why are those the prime factors of the number 160,620,570?

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 160,620,570

160,620,570
Factor Arrows
280,310,285
Factor Arrows
326,770,095
Factor Arrows
38,923,365
Factor Arrows
32,974,455
Factor Arrows
3991,485
Factor Arrows
3330,495
Factor Arrows
3110,165
Factor Arrows
522,033
Factor Arrows
112,003

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, 3, 5, 11, 2003

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 11 x 2,003 = 160,620,570

This can also be written as 21 x 36 x 51 x 111 x 2,0031 = 160,620,570

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


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