Q: What are the prime factors of the number 862,621,240?

 A: 2, 5, 13, 29, 57203

Why are those the prime factors of the number 862,621,240?

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 862,621,240

862,621,240
Factor Arrows
2431,310,620
Factor Arrows
2215,655,310
Factor Arrows
2107,827,655
Factor Arrows
521,565,531
Factor Arrows
131,658,887
Factor Arrows
2957,203

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, 29, 57203

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 13 x 29 x 57,203 = 862,621,240

This can also be written as 23 x 51 x 131 x 291 x 57,2031 = 862,621,240

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


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