Q: What are the prime factors of the number 530,211,411?

 A: 3, 127, 307, 1511

Why are those the prime factors of the number 530,211,411?

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 530,211,411

530,211,411
Factor Arrows
3176,737,137
Factor Arrows
358,912,379
Factor Arrows
127463,877
Factor Arrows
3071,511

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:

3, 127, 307, 1511

We can check our work by multiplying all of the prime factors together: 3 x 3 x 127 x 307 x 1,511 = 530,211,411

This can also be written as 32 x 1271 x 3071 x 1,5111 = 530,211,411

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


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