Q: What are the prime factors of the number 156,442,432?

 A: 2, 17, 53, 2713

Why are those the prime factors of the number 156,442,432?

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 156,442,432

156,442,432
Factor Arrows
278,221,216
Factor Arrows
239,110,608
Factor Arrows
219,555,304
Factor Arrows
29,777,652
Factor Arrows
24,888,826
Factor Arrows
22,444,413
Factor Arrows
17143,789
Factor Arrows
532,713

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, 17, 53, 2713

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 17 x 53 x 2,713 = 156,442,432

This can also be written as 26 x 171 x 531 x 2,7131 = 156,442,432

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


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