Q: What are the prime factors of the number 116,143,032?

 A: 2, 3, 313, 15461

Why are those the prime factors of the number 116,143,032?

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 116,143,032

116,143,032
Factor Arrows
258,071,516
Factor Arrows
229,035,758
Factor Arrows
214,517,879
Factor Arrows
34,839,293
Factor Arrows
31315,461

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, 313, 15461

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 313 x 15,461 = 116,143,032

This can also be written as 23 x 31 x 3131 x 15,4611 = 116,143,032

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


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