Q: What are the prime factors of the number 533,240,037?

 A: 3, 11, 17, 105613

Why are those the prime factors of the number 533,240,037?

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 533,240,037

533,240,037
Factor Arrows
3177,746,679
Factor Arrows
359,248,893
Factor Arrows
319,749,631
Factor Arrows
111,795,421
Factor Arrows
17105,613

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, 11, 17, 105613

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 11 x 17 x 105,613 = 533,240,037

This can also be written as 33 x 111 x 171 x 105,6131 = 533,240,037

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


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