Q: What are the prime factors of the number 160,620,573?

 A: 3, 17, 47, 113, 593

Why are those the prime factors of the number 160,620,573?

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 160,620,573

160,620,573
Factor Arrows
353,540,191
Factor Arrows
173,149,423
Factor Arrows
4767,009
Factor Arrows
113593

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, 17, 47, 113, 593

We can check our work by multiplying all of the prime factors together: 3 x 17 x 47 x 113 x 593 = 160,620,573

This can also be written as 31 x 171 x 471 x 1131 x 5931 = 160,620,573

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


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