Q: What are the prime factors of the number 572,628,888?

 A: 2, 3, 13, 443, 1381

Why are those the prime factors of the number 572,628,888?

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 572,628,888

572,628,888
Factor Arrows
2286,314,444
Factor Arrows
2143,157,222
Factor Arrows
271,578,611
Factor Arrows
323,859,537
Factor Arrows
37,953,179
Factor Arrows
13611,783
Factor Arrows
4431,381

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, 13, 443, 1381

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 13 x 443 x 1,381 = 572,628,888

This can also be written as 23 x 32 x 131 x 4431 x 1,3811 = 572,628,888

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


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