Q: What are the prime factors of the number 535,314,032?

 A: 2, 11, 3041557

Why are those the prime factors of the number 535,314,032?

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 535,314,032

535,314,032
Factor Arrows
2267,657,016
Factor Arrows
2133,828,508
Factor Arrows
266,914,254
Factor Arrows
233,457,127
Factor Arrows
113,041,557

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, 11, 3041557

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 3,041,557 = 535,314,032

This can also be written as 24 x 111 x 3,041,5571 = 535,314,032

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


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