Q: What are the prime factors of the number 202,460,416?

 A: 2, 790861

Why are those the prime factors of the number 202,460,416?

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 202,460,416

202,460,416
Factor Arrows
2101,230,208
Factor Arrows
250,615,104
Factor Arrows
225,307,552
Factor Arrows
212,653,776
Factor Arrows
26,326,888
Factor Arrows
23,163,444
Factor Arrows
21,581,722
Factor Arrows
2790,861

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, 790861

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 790,861 = 202,460,416

This can also be written as 28 x 790,8611 = 202,460,416

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


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