Q: What are the prime factors of the number 156,330,616?

 A: 2, 13, 659, 2281

Why are those the prime factors of the number 156,330,616?

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 156,330,616

156,330,616
Factor Arrows
278,165,308
Factor Arrows
239,082,654
Factor Arrows
219,541,327
Factor Arrows
131,503,179
Factor Arrows
6592,281

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, 13, 659, 2281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 659 x 2,281 = 156,330,616

This can also be written as 23 x 131 x 6591 x 2,2811 = 156,330,616

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


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