Q: What are the prime factors of the number 616,046,080?

 A: 2, 5, 13, 107, 173

Why are those the prime factors of the number 616,046,080?

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 616,046,080

616,046,080
Factor Arrows
2308,023,040
Factor Arrows
2154,011,520
Factor Arrows
277,005,760
Factor Arrows
238,502,880
Factor Arrows
219,251,440
Factor Arrows
29,625,720
Factor Arrows
24,812,860
Factor Arrows
22,406,430
Factor Arrows
21,203,215
Factor Arrows
5240,643
Factor Arrows
1318,511
Factor Arrows
107173

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, 13, 107, 173

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 2 x 2 x 2 x 5 x 13 x 107 x 173 = 616,046,080

This can also be written as 29 x 51 x 131 x 1071 x 1731 = 616,046,080

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


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