Q: What are the prime factors of the number 653,552,430?

 A: 2, 3, 5, 21785081

Why are those the prime factors of the number 653,552,430?

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 653,552,430

653,552,430
Factor Arrows
2326,776,215
Factor Arrows
3108,925,405
Factor Arrows
521,785,081

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, 5, 21785081

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 21,785,081 = 653,552,430

This can also be written as 21 x 31 x 51 x 21,785,0811 = 653,552,430

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


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