Q: What are the prime factors of the number 661,157,032?

 A: 2, 281, 491, 599

Why are those the prime factors of the number 661,157,032?

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 661,157,032

661,157,032
Factor Arrows
2330,578,516
Factor Arrows
2165,289,258
Factor Arrows
282,644,629
Factor Arrows
281294,109
Factor Arrows
491599

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, 281, 491, 599

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 281 x 491 x 599 = 661,157,032

This can also be written as 23 x 2811 x 4911 x 5991 = 661,157,032

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


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