Q: What are the prime factors of the number 531,553,024?

 A: 2, 61, 34039

Why are those the prime factors of the number 531,553,024?

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 531,553,024

531,553,024
Factor Arrows
2265,776,512
Factor Arrows
2132,888,256
Factor Arrows
266,444,128
Factor Arrows
233,222,064
Factor Arrows
216,611,032
Factor Arrows
28,305,516
Factor Arrows
24,152,758
Factor Arrows
22,076,379
Factor Arrows
6134,039

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, 61, 34039

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 61 x 34,039 = 531,553,024

This can also be written as 28 x 611 x 34,0391 = 531,553,024

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


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