Q: What are the prime factors of the number 423,403,032?

 A: 2, 3, 13, 1357061

Why are those the prime factors of the number 423,403,032?

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 423,403,032

423,403,032
Factor Arrows
2211,701,516
Factor Arrows
2105,850,758
Factor Arrows
252,925,379
Factor Arrows
317,641,793
Factor Arrows
131,357,061

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, 13, 1357061

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 13 x 1,357,061 = 423,403,032

This can also be written as 23 x 31 x 131 x 1,357,0611 = 423,403,032

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


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