Q: What are the prime factors of the number 864,145,032?

 A: 2, 3, 61, 590263

Why are those the prime factors of the number 864,145,032?

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 864,145,032

864,145,032
Factor Arrows
2432,072,516
Factor Arrows
2216,036,258
Factor Arrows
2108,018,129
Factor Arrows
336,006,043
Factor Arrows
61590,263

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, 61, 590263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 61 x 590,263 = 864,145,032

This can also be written as 23 x 31 x 611 x 590,2631 = 864,145,032

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


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