Q: What are the prime factors of the number 162,553,504?

 A: 2, 503, 10099

Why are those the prime factors of the number 162,553,504?

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 162,553,504

162,553,504
Factor Arrows
281,276,752
Factor Arrows
240,638,376
Factor Arrows
220,319,188
Factor Arrows
210,159,594
Factor Arrows
25,079,797
Factor Arrows
50310,099

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, 503, 10099

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 503 x 10,099 = 162,553,504

This can also be written as 25 x 5031 x 10,0991 = 162,553,504

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


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