Q: What are the prime factors of the number 162,600,440?

 A: 2, 5, 331, 12281

Why are those the prime factors of the number 162,600,440?

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 162,600,440

162,600,440
Factor Arrows
281,300,220
Factor Arrows
240,650,110
Factor Arrows
220,325,055
Factor Arrows
54,065,011
Factor Arrows
33112,281

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, 5, 331, 12281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 331 x 12,281 = 162,600,440

This can also be written as 23 x 51 x 3311 x 12,2811 = 162,600,440

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


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